Q: How many triangles can be formed from a vertex of 20 sided polygon?

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The number of triangles formed by the diagonals of a 21 sided polygon is C(21,3) = 21x20x19/3x2x1 = 1,330.

It can have 5 triangles

By looking at other polygons with less sides, we can see how many triangles they can fit. In a 4-sided polygon (square), you can fit 2 triangles. In a 5-sided polygon (pentagon), you can fit 3 triangles. In a 6-sided polygon (hexagon), you can fit 4 triangles. In an 8-sided polygon (octagon), you can fit 6 triangles. The pattern here is the number of triangles is equal to the number of sides minus 2. T = N - 2 So... 50 - 2 = 48. 48 triangles can fit into a 50-sided polygon.

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Two triangles can be formed by the diagonals of one vertex of a four-sided polygon.

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It is: 8 because 8 triangles make up a 10 sided polygon

Any n-sided regular polygon, by joining a single vertex up to each of the others, will have a total of (n - 2) triangles inside. In this case, an 11-sided polygon will contain 11 - 2 = 9 triangles.

The number of triangles formed by the diagonals of a 21 sided polygon is C(21,3) = 21x20x19/3x2x1 = 1,330.

13 triangles will be formed

there are 15 triangles in a 17 sided polygon

There are 17 triangles in a 19 sided polygon

A 30 sided polygon contains 28 triangles.

There are 3 triangles inside a 5 sided pentagon polygon

A diagonal of a polygon is a segment drawn from one vertex to another non-adjacent vertex in a polygon. This leaves 32 diagonals that can be drawn from one vertex in a 35 sided polygon.