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15y ago

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Continue Learning about Geometry

How many diagonals in decagon?

There are 35 diagonals in a 10 sided decagon


How many diagonals does tetra-decagon have?

A tetra-decagon is a 14 sided polygon having 77 diagonals


How many pairs of parallel diagonals in a decagon?

There are 5 sets of 3 parallel diagonals (where one is a major diagonal and 2 of them span 2 vertices. Each set makes 3 pairs, so there are 5 * 3 = 15 pairs. There are 5 sets of 4 parallel diagonals (where 2 of them span 1 vertex, and 2 of them span 3 vertices. Each set makes 6 pairs, so there are 5 * 6 = 30 pairs. So that's 15 + 30 = 45 pairs.


How many diagonals are there in a decagon?

A decagon has 35 diagonals. A Nonagon has 27 diagonals. An Octagon has 20 diagonals. A Heptagon has 14 diagonals. A Hexagon has 9 diagonals. A Pentagon has 5 Diagonals. A Square has 2 Diagonals. A triangle has 0 Diagonals.Do you get the point?0+2+3+4+7+8. Starting with the triangle.you don't need to start with the triangle because it is 0 diagonals and will not count when you add it up anyways. And don't call it a square, call it a quadrilateral.Shut up-------Imagine a hexagone-There are two vertices at the top which make a horizontal line- Opposite them there are 2 vertices on the bottom which we can draw straight lines totherefore-There would have been 6 connections per point, but we eliminated 3(n-3)---The connections occur for every vertex in the shapethereforen(n-3)--We don't want to draw the same connections twice once we get around to vertices on the opposite side of the shapethereforen/2(n-3)where n is the number of facesThis may be applied to many if not all polygons. A Decagon has 36 sides not 35...There are 35 diagonals in a 10 sided decagon


What is the number of triangles formed in a decagon when all the diagonals from one vertex are drawn?

8