six The formula to calculate the area of a regular octagon is, Area of a Regular Octagon = 2a2(1 + 2); where 'a' is any one side length of the octagon. For a full description of the importance and advantages of regular hexagons, we recommend watching this video. This means the length of the diagonal can be calculated if the side length of the regular hexagon is known. How many equal angles does an equilateral triangle have? Styling contours by colour and by line thickness in QGIS. In other words, an irregular Octagon has eight unequal sides and eight unequal angles. If all of the diagonals are drawn from a vertex of a pentagon, how many triangles are formed? Here, the side length, a = 5 units. The above formula $(N_0)$ is valid for polygon having $n$ no. Can a hexagon be divided into 4 triangles? satisfaction rating 4.7/5. As the name suggests, a "triangle" is a three-sided polygon having three angles. Try to use only right triangles or maybe even special right triangles to calculate the area of a hexagon! For example, if the perimeter of a regular octagon is 96 units, then the length of one side = Perimeter 8 = 96/8 = 12 units. Just calculate: where side refers to the length of any one side. But the DIAGONAL too is made from 3 points : 2vertices and 1 centre.. And here we make a line and not a triangle.. The formula for the area of a polygon is always the same no matter how many sides it has as long as it is a regular polygon: Just as a reminder, the apothem is the distance between the midpoint of any side and the center. The number of inverted triangles with a peak in the downward direction of size K present in size N equals to ( (N - 2K + 1) * (N - 2K + 2))/2. We have,. For the regular hexagon, these triangles are equilateral triangles. Here is one interpretation (which is probably not the one intended, but who knows? A regular hexagon is a hexagon in which all of its sides have equal length. . How many triangles can be created by connecting the vertices of an octagon? There are eight sides in an octagon. Therefore, the area of the octagon is 120.71 square units. c. One triangle. A regular hexagon can be dissected into six equilateral triangles by adding a center point. These cookies will be stored in your browser only with your consent. Learn more about Stack Overflow the company, and our products. Another way to find the number of triangles that can be formed in an octagon is by using the formula, (n - 2), where n = number of sides of the polygon. So, the total diagonals will be 6 (6-3)/2 = 9. The pentacle to the left has been put inside another pentagon, and together they form many triangles. According to the regular octagon definition, all its sides are of equal length. Requested URL: byjus.com/question-answer/how-many-triangles-can-be-formed-by-joining-the-vertices-of-a-hexagon/, User-Agent: Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/103.0.0.0 Safari/537.36. This fact proves to be of the utmost importance when we talk about the popularity of the hexagon shape in nature. By drawing a line to every other vertex, you create half as many equal areas (3 equal areas). Assume you pick a side $AB$. Another pair of values that are important in a hexagon are the circumradius and the inradius. How many distinct diagonals does a hexagon have? In triangle TAG, angle A = 70 degrees, a = 19, g = 26 A. Minimising the environmental effects of my dyson brain. Fill order form. 5 How many triangles can be formed by joining the vertices of a regular octagon such that at least one side of the triangle is same as the side of the octagon? Therefore, number of triangles $N_1$ having only one side common with that of the polygon $$N_1=\text{(No. Most of the entries in the NAME column of the output from lsof +D /tmp do not begin with /tmp. Since a regular hexagon is comprised of six equilateral triangles, the . So actually, it's 18 triangles, not 6, as explained by Gerry Myerson. This cookie is set by GDPR Cookie Consent plugin. Diagonals Triangle 3 d3= 0 Quadrilateral 4 d4=2 Pentagon 5 d5= 2+3=5 Hexagon 6 d6= 2+3+4=9. Indulging in rote learning, you are likely to forget concepts. Check out our online resources for a great way to brush up on your skills. Using a very simple formula, you can calculate the number of diagonals in any polygon, whether it has 4 sides or 4,000 sides. Observe the question carefully and find out the length of side of a regular hexagon. We divide the octagon into smaller figures like triangles. Answer with solution Again it is good to use symmetry here, we can brake this image into six small triangles each formed by one of the side of the hexagon and each of the triangle is divided in half by a line. Proof by simple enumeration? You could also combine two adjacent triangles to construct a total of 3 different rhombuses and calculate the area of each separately. This same approach can be taken in an irregular hexagon. Solve My Task. We will directly count the number of triangles with 3, 4 and 5 endpoints (top three figures). of sides)}=\color{blue}{(n-4)n}$$, Now, join the alternate vertices $A_1$ & $A_3$ by a straight (blue) line to get a triangle $A_1A_2A_3$ with two sides $A_1A_2$ & $A_2A_3$ common. Regular or not? What are the values of X and Y that make these triangles. How many triangle can be draw in a hexagon by joining their vertices? Clear up mathematic problems a) n - 2 b) n - 1 c) n d) n + 1. In that case, you get two trapezoids, and you can calculate the area of the hexagon as the sum of them. How do I connect these two faces together? (cont) [4 distinct ones by 2D rotation, 3 distinct ones by 3D rotation] To prove there are only 6 triangles, when drawing all the diagonals (lines going through the centre of mass) of a regular hexagon, I am not quite sure how to proceed. The number of triangles that can be formed by joining them is C n 3. $\mathrm{A_1, \ A_2,\ A_3, \ A_3, \ldots , A_{n-1}}$, $$N=\text{number of ways of selecting 3 vertices out of n}=\color{}{\binom{n}{3}}$$, $$N_1=\text{(No. Can archive.org's Wayback Machine ignore some query terms? The sum of all the exterior angles in an octagon is always 360. An equilateral triangle and a regular hexagon have equal perimeters. $\implies$ can also be written as sum of no of triangles formed in the following three cases, 1) no of triangles with only one side common with polygon, This cookie is set by GDPR Cookie Consent plugin. You count triangles that way. What makes you say 20 is not the right answer? (33 s2)/2 where 's' is the side length. Thus the final result is $nC3-nC1*(n-4)C1-nC1$. :)) Share Cite Follow answered Mar 6, 2013 at 19:45 user65382 1 Add a comment 0 of the sides such that $ \ \ \color{blue}{n\geq 6}$. How many triangles can be formed from $9$ points which some are collinear, Number of isoceles triangles formed by the vertices of a polygon that are not equilateral, Number of right triangles formed by the diagonals of an $n$-sided regular polygon, Follow Up: struct sockaddr storage initialization by network format-string. For example, if 7 sides of an octagon sum up to 36 units, and the perimeter of the octagon is 42 units, then the missing side = Perimeter - Sum of the remaining sides, which means, 42 - 36 = 6 units. It solves everything I put in, efficiently, quickly, and hassle free. How many right angles does a hexagonal prism have? Since triangles have angle sum 180 and quadrilaterals have angle sum 360, copies of one tile can fill out the 360 surrounding a vertex of the tessellation. The sum of its interior angles is 1080 and the sum of its exterior angles is 360. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. The cookie is used to store the user consent for the cookies in the category "Other. :/), We've added a "Necessary cookies only" option to the cookie consent popup. Using a common vertex, and with the help of diagonals, 6 triangles can be formed in an octagon. How many diagonals can be drawn by joining the vertices? How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm? The area of the hexagon is 24a2-18 square units. We remind you that means square root. An octagon can be defined as a polygon with eight sides, eight interior angles, and eight vertices. Therefore, there are 20 diagonals in an octagon. If all of the diagonals are drawn from a vertex of an octagon, how many triangles are formed? If you're into shapes, also try to figure out how many squares are in this image. What do a triangle and a hexagon have in common? Choose a side and form a triangle with the two radii that are at either corner of . $$=\frac{n(n-4)(n-5)}{6}$$, The number of triangles with two sides common with regular polygon having $n$ number of sides $$=\text{number of sides in polygon}=n$$ ], So if we subtract the part $2$ and $3$ from part $1$ we will get our desired result. 2 What is the number of triangles that can be formed whose vertices are the vertices of an octagon? Where A means the area of each of the equilateral triangles in which we have divided the hexagon. These tricks involve using other polygons such as squares, triangles and even parallelograms. Also, a triangle has many properties. Most people on Quora agreed that the answer is 24, with each row containing six triangles. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. non-isosceles triangles with vertices in a 20-sided regular polygon. How many diagonals can be formed by joining the vertices of hexagon? Starting with human usages, the easiest (and probably least exciting) use is hexagon tiles for flooring purposes. But, each diagonal is counted twice, once from each of its ends. If $N_0$ is the number of triangles having no side common with that of the polygon then we have $$N=N_0+N_1+N_2$$ $$N_0=N-N_1-N_2$$ $$=\binom{n}{3}-(n-4)n-n$$ $$=\color{}{\frac{n(n-1)(n-2)}{6}-n^2+3n}$$ There are 8 interior angles and 8 exterior angles in an octagon. Octagon is an eight-sided two-dimensional geometrical figure. The perimeter of a polygon is the total length of its boundary. Choosing the vertices of a regular hexagon, how many ways are there to form four triangles such that any two triangles share exactly one vertex? Did you know that hexagon quilts are also a thing?? There 6 equilateral triangles in a regular hexagon. One triangle is formed by selecting a group of 3 vertices from the given 6 vertices. So, from the given 6 vertices of a hexagon we can choose 3 vertices in C 3 6 ways The number of triangles that can be formed = C 6 3 = 6! we have to find the number of triangles formed. . None of their interior angles is greater than 180. The octagon in which each interior angle is less than 180 is a convex octagon. How many diagonals does a regular hexagon have? Area of octagon = 2a2(1 + 2), Substituting the value of 'a' = 6, Area of octagon = 2 (62) (1 + 2) = 72 (1 + 2) = 173.8 square units. The hexagon shape is one of the most popular shapes in nature, from honeycomb patterns to hexagon tiles for mirrors its uses are almost endless. How many obtuse angles can a isosceles triangle have? 9514 1404 393. How many obtuse angles are in a triangle? Q: In a convex 22-gon, how many diagonals can be drawn from one vertex? Answer: 6. For example, in a hexagon, the total sides are 6. It does not store any personal data. This part of the camera is called the aperture and dictates many properties and features of the pictures produced by a camera. How many triangles can be formed by joining the vertices of Heptagonal? 6 How many diagonals can be drawn by joining the vertices? A regular octagon has 4 pairs of parallel sides (parallel lines). A regular octagon is one in which all the sides are of equal length and all the interior angles are of equal measure. The perimeter of an octagon is the total length of its boundary. For those who want to know how to do this by hand, we will explain how to find the area of a regular hexagon with and without the hexagon area formula. Using this calculator is as simple as it can possibly get with only one of the parameters needed to calculate all others and includes a built-in length conversion tool for each of them. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. How many sides does a regular polygon have? In nature, as we have mentioned, there are plenty of examples of hexagonal formations, mostly due to stress and tensions in the material. In other words, an n-sided polygon has n-vertices which can be joined with each other in nC2 ways. Since the interior angles of each triangle totals 180, the hexagon's interior angles will total 4(180), or 720. of triangles corresponding to one side)}\text{(No. The way that 120 angles distribute forces (and, in turn, stress) amongst 2 of the hexagon sides makes it a very stable and mechanically efficient geometry. Let us discuss in detail about the triangle types. Hence number of triangles by joining the vertices of decagon is = 10C 3= 1.2.310.9.8= 120 Was this answer helpful? A polygon is any shape that has more than three sides. That is the reason why it is called an octagon. A regular hexagon can be stellated with equilateral triangles on its edges, creating a hexagram. Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. How many sides does an equilateral triangle have? Become a Study.com member to unlock this answer! Pentagon = 5 sides, 5 diagonal formed, 40 triangles formed 4.) A regular hexagon is composed of 12 congruent { 30^o,60^o,90^o } triangles. 5 triangles made of 5 shapes. The sides of a regular octagon are of equal length. This result is because the volume of a sphere is the largest of any other object for a given surface area. How many triangles can be formed by joining the vertices of a regular octagon such that at least one side of the triangle is same as the side of the octagon? Was verwendet Harry Styles fr seine Haare? If you don't remember the formula, you can always think about the 6-sided polygon as a collection of 6 triangles. In very much the same way an octagon is defined as having 8 angles, a hexagonal shape is technically defined as having 6 angles, which conversely means that (as you can see in the picture above) the hexagonal shape is always a 6-sided shape. What is the point of Thrower's Bandolier? It should be no surprise that the hexagon (also known as the "6-sided polygon") has precisely six sides. Best app out there! Is it not just $ ^{n}C_3?$ ..and why so many views? 1. Therefore, number of triangles = 6 C 3= 3!3!6! 3. The next simplest shape after the three and four sided polygon is the five sided polygon: the pentagon. Therefore, 6 triangles can be formed in an octagon. Has 90% of ice around Antarctica disappeared in less than a decade? The sum of the exterior angles. Hexa means six, so therefore 6 triangles. Convex or not? [ n C r = n! The sum of the interior angles of an octagon can be calculated with the help of the following formula where 'n' represents the number of sides (8) in an octagon. In fact, it is so popular that one could say it is the default shape when conflicting forces are at play and spheres are not possible due to the nature of the problem. Math can be daunting for some, but with a little practice it can be easy! What kind of hexagon? Counting the triangles formed by the sides and diagonals of a regular hexagon, How to tell which packages are held back due to phased updates. If you divide a regular hexagon (side length s) into six equilateral triangles (also of side length s), then the apothem is the altitude, and bisector. of sides)}=\color{blue}{(n-4)n}$$, $$=\color{}{\frac{n(n-1)(n-2)}{6}-n^2+3n}$$, $$N_0=\color{red}{\frac{n(n-4)(n-5)}{6}}$$. It is simply equal to R = a. Inradius: the radius of a circle inscribed in the regular hexagon is equal to half of its height, which is also the apothem: r = 3/2 a. Can you pick flowers on the side of the road? - Definition, Area & Angles. Making such a big mirror improves the angular resolution of the telescope, as well as the magnification factor due to the geometrical properties of a "Cassegrain telescope". How many triangles can be formed with the side lengths of 12,15, and 18? How are probability distributions determined? The answer is not from geometry it's from combinations. Where does this (supposedly) Gibson quote come from? How many isosceles triangles with whole-number length sides have a perimeter of 20 units? How many intersections does an n-sided polygon's diagonal have if no 3 diagonals intersect. If we put three triangles next to each other, you can see they form a trapezoid: In this case we can say, "one-sixth plus one-sixth plus one-sixth equals one-half" (remember that a trapezoid is one-half of a hexagon), or we can say "three times one-sixth equals one-half." These equations can be written: 1 6 + 1 6 + 1 6 = 1 2 and 3 x 1 6 . It only takes a minute to sign up. What am I doing wrong here in the PlotLegends specification? Is it suspicious or odd to stand by the gate of a GA airport watching the planes? How many sides does a polygon have with an interior angle of 157.5 degrees? The best answers are voted up and rise to the top, Not the answer you're looking for? If all of the diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed? The sum of the interior angles of an octagon is 1080 and the sum of its exterior angles is 360. One of the biggest problems we experience when observing distant stars is how faint they are in the night sky. The octagon in which at least one of its angles points inwards is a concave octagon. The name 'octagon' is derived from the Greek word 'oktgnon' which means eight angles. How do I align things in the following tabular environment? We will show you how to work with Hexagon has how many parallel sides in this blog post. I can see 35 in a pentagon, by organising my triangles by the quantity of shapes each is constructed of: 10 triangles made of 1 shape. A place where magic is studied and practiced? Thus there are $(n-4)$ different triangles with only one side $A_1A_2$ common. How many non-congruent triangles can be formed by the vertices of a regular polygon of $n$ sides. Here, the perimeter is given as 160 units. What is a word for the arcane equivalent of a monastery? Now, the 11 vertices can be joined with each other by 11C2 ways i.e. A regular hexagon is a hexagon in which all of its sides have equal length. No tracking or performance measurement cookies were served with this page. selection of 3 points from n points = n(C)3 A: 209 diagonals So, a polygon with 22 sides has 209 diagonals. One triangle is formed by selecting a group of 3 vertices from given 6 vertices. Here we explain not only why the 6-sided polygon is so popular but also how to draw hexagon sides correctly. This honeycomb pattern appears not only in honeycombs (surprise!) . There are $n-4$ options to form triangle with one side common with polygon therefore the number of triangles with one side common with regular polygon having $n$ number of sides $$=n(n-4)$$ For the sides, any value is accepted as long as they are all the same. So, the total diagonals will be 6(6-3)/2 = 9. If a polygon has 500 diagonals, how many sides does the polygon have? How many edges can a triangular prism have? Did any DOS compatibility layers exist for any UNIX-like systems before DOS started to become outmoded? edit: It seems I didn't know the actual definition of a diagonal: "a line joining two nonconsecutive vertices of a polygon or polyhedron.". 10 triangles made of 3 shapes. , What are examples of venial and mortal sins? A regular hexagon has a perimeter of 30 m. What is the area of the hexagon? Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. The three sides of a triangle have length a, b and c . Do new devs get fired if they can't solve a certain bug? A quadrilateral is a closed shape with four vertices and four sides and an octagon has 8 sides and 8 vertices. 10 triangles made of 2 shapes. Another way to find the number of triangles that can be formed in an octagon is by using the formula, (n - 2), where n = number of sides of the polygon. There are three paths formed by the triangles A 1 A 2 A 3, B 1 B 2 B 3, and C 1 C 2 C 3, , as shown. Alternatively, one can also think about the apothem as the distance between the center, and any side of the hexagon since the Euclidean distance is defined using a perpendicular line. How many right triangles can be constructed? If the shape is closed, made up of straight lines, and has eight sides, we call it an octagon. ABCPQR Then,. 6 triangles can be formed in a regular octagon with the help of diagonals using a common vertex. My code is GPL licensed, can I issue a license to have my code be distributed in a specific MIT licensed project? The number of vertices in a triangle is 3 . Thus, those are two less points to choose from, and you have $n-4$. Below is the implementation of the above approach: C++ #include <iostream> using namespace std; int No_of_Triangle (int N, int K) { if (N < K) return -1; else { int Tri_up = 0; Tri_up = ( (N - K + 1) 3! In a regular hexagon, four triangles can be created using diagonals of the hexagon from a common vertex. This value remains the same for all polygons, which means that the sum of exterior angles for all polygons is 360. Since each of the six interior angles in a regular hexagon are equal in measure, each interior angle measures 720/6 = 120, as shown below. if we take any one side of a n-sided polygon join its vertex with its opposite vertex required triangle is formed. How many different triangles can be formed having a perimeter of 7 units if each side must have integral length? Each sprinter traverses her respective triangular path clockwise and returns to her starting point. Since the interior angles of each triangle totals 180, the hexagon's interior angles will total 4(180), or 720. In a regular octagon, all the interior angles are of equal measure and each interior angle measures 135. How many triangles can be formed by using vertices from amongst these seven points? When we plug in side = 2, we obtain apothem = 3, as claimed. These cookies track visitors across websites and collect information to provide customized ads. Learn more about Stack Overflow the company, and our products. So we can say that thanks to regular hexagons, we can see better, further, and more clearly than we could have ever done with only one-piece lenses or mirrors. On top of that, due to relativistic effects (similar to time dilation and length contraction), their light arrives on the Earth with less energy than it was emitted. How many obtuse angles does a square have? An octagon has 20 diagonals in all. How many lines of symmetry does a triangle have? There are five arrangements of three diagonals to consider. The number of quadrilaterals that can be formed by joining them is C n 4. Similarly, join alternate vertices $A_2$ & $A_4$ to get another triangle $A_2A_3A_4$ with two sides $A_2A_3$ & $A_3A_4$ common & so on (as shown in above figure-2). How many different triangles can be formed with the vertices of an octagon? The circumradius is the radius of the circumference that contains all the vertices of the regular hexagon. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. Remember, this only works for REGULAR hexagons. Then, you have two less points to choose from for the third vertex. There are a total of 8 sides in an octagon, and those eight sides are parallel to their respective opposite side in the case of a regular octagon. Writing Versatility. Octagons are classified into various types based upon their sides and angles. However, if we consider all the vertices independently, we would have a total of 632 triangles. . This is a significant advantage that hexagons have. Sum of interior angles of a polygon = (n - 2) 180 = (8 - 2) 180 = 1080. Okei, the point I did miss here is the definion of regular hexagon. To solve this lets break this problem into $3$ parts: Total number of triangles that can form without any restrictions$=nC3$. Depending upon the sides and angles, an octagon is classified into the following categories: The octagon that has eight equal sides and eight equal angles is known as a regular octagon. if triangle has a perimeter of 18, what is the perimeter of hexagon? What is the hexagon's area? The honeycomb pattern is composed of regular hexagons arranged side by side. What is the number of triangles that can be formed whose vertices are the vertices of an octagon? Correct option is A) Since decagon has 10 sides, clearly 10 vertices of decagon say A 1,A 2,A 3,.,A 10. a) 5 b) 6 c) 7 d) 8. There are 3 diagonals, so 3 triangles counted in 35 are actually a LINE.. Total left 35-3=32. We are, of course, talking of our almighty hexagon. 1.) In order to calculate the perimeter of an octagon, the length of all the sides should be known. To one side of each diagonal is a triangle, and you count of those: one to that side of the first diagonal, a second one to that side of the second diagonal, and so on. Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. , Was ist ein Beispiel fr eine Annahme? Substituting the value of 'a' in the formula, we get, Area of a Regular Octagon = 2a2(1 + 2) = 2 (5)2 (1 + 2) = 50 (1 + 2) = 120.71 square units. There are six equilateral triangles in a regular hexagon. Is it possible to rotate a window 90 degrees if it has the same length and width? The sum of the interior angles of an octagon can be calculated using the formula, Sum of interior angles of a polygon = (n - 2) 180, where 'n' represents the number of sides in the polygon. Minimising the environmental effects of my dyson brain. Solve Now. $$= \text{total - (Case I + Case II)}$$ Using this, we can start with the maths: Where A means the area of each of the equilateral triangles in which we have divided the hexagon. How many right angles does a isosceles triangle have? ABC, ACD and ADE. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Answer is 6. An octagon has eight sides and eight angles. How many triangles can be formed from the vertices of a polygon of $n$ sides if the triangle and the polygon may not share sides? The next case is common to all polygons, but it is still interesting to see. The best answers are voted up and rise to the top, Not the answer you're looking for? After multiplying this area by six (because we have 6 triangles), we get the hexagon area formula: We hope you can see how we arrive at the same hexagon area formula we mentioned before. Solve word questions too In addition to solving math problems, students should also be able to answer word questions. Then, after calculating the area of all the triangles, we add their areas to get the area of the octagon. Since a regular hexagon is comprised of six equilateral triangles, the One C. Two D. Three. Connect and share knowledge within a single location that is structured and easy to search. How many sides does a triangular prism have? The answer is 3/4, that is, approximately, 0.433. Observe the figure given below to see what an octagon looks like. Very great, it helps me with my math assignments. The hexagon is an excellent shape because it perfectly fits with one another to cover any desired area. How many triangles can be formed by the vertices of a regular polygon of $n$ sides? In a regular hexagon, how many diagonals and equilateral triangles are formed? Thus there are $n$ pairs of alternate & consecutive vertices to get $n$ different triangles with two sides common (Above fig-2 shows $n$ st. lines of different colors to join alternate & consecutive vertices). a. The number of polygons with k sides that can be formed by joining them is C n k. Since no 3 vertices in given heptagon are collinear, then the number of triangles possible is C 7 3 = 35. Therefore, the formula to find the area of 357+ PhD Experts 4.5/5 Quality score 49073 Clients Get Homework Help Do I need a thermal expansion tank if I already have a pressure tank? In a hexagon there are six sides. Why are physically impossible and logically impossible concepts considered separate in terms of probability? By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. This is very helpful, not only does it solves mathematical problems for you but it teaches you also. @Freelancer you have $n$ choice of sides. Exploring the 6-sided shape, Hexagon area formula: how to find the area of a hexagon. Therefor the interior angles of the polygon must be the sum of all the triangles' interior angles, or 180 (n-2). If three diagonals are drawn inside a hexagon with each one passing through the center point of the hexagon, how many triangles are formed?
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