WebMar 26, 2016 · You know what the formula for the number of diagonals in a polygon is, and you know that the polygon has 90 diagonals, so plug 90 in for the answer and solve for n: Thus, n equals 15 or –12. But because a polygon can’t have a negative number of sides, n must be 15. So you have a 15-sided polygon (a pentadecagon, in case you’re … WebFeb 1, 2024 · Using formula, diagonals = (n × (n – 3))/2 Put n = 10 Diagonals = (10 × (10 – 3))/2 = 35 Hence a decagon has 35 diagonals. Question 4: There are 27 diagonals in a polygon, find the number of sides it has? Solution: Using diagonals formula = (n × (n – 3))/2 So 27 = (n × (n – 3))/2 27 × 2 = (n × (n – 3)) 54 = n 2 – 3 × n n 2 – 3 × n – 54 = 0
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WebApr 10, 2024 · The number of diagonals of a polygon depends on the number of sides it has. There is a simple formula to determine the number of diagonals in a polygon. Number of diagonals= (n(n-3))/2; where n is the number of vertices of the polygon. Example- To calculate the number of diagonals of a hexagon, we take n=6 (because it … WebApr 6, 2024 · The diagonal formula is used for a polygon as stated below: In the first step, we identify the polygon; whether it is a triangle, or a pentagon or a hexagon, etc. In the next step, we evaluate the number of sides, vertices and … phoenix point best builds
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WebTo find the number of diagonals in a polygon, we multiply the number of diagonals per vertex ( n − 3) (n-3) (n− 3) by the number of vertices, n n n , and divide by 2 (otherwise each diagonal is counted twice); n ( n − 3) / 2 n (n-3)/2 n(n− 3)/2 Therefore, for a 20-sided polygon, there will be 190 lines and 170 diagonals. WebSep 27, 2024 · Every polygon has a number of diagonals except for the triangle. A diagonal is a line that connects two non-adjacent corners together. If you had a rectangle, for example, you would be able... WebThe diagonal of a polygon formula is used to calculate the number of diagonals of a polygon. It says The number of diagonals of a polygon = n (n−3)/2 Here 'n' is the number of sides polygon has. Let us see the applications of the diagonal of a polygon formula in the following section. Solved Examples Using Diagonal of a Polygon Formula how do you fix a slow running pc