Question

A regular polygon of 10 sides is constructed. Triangles are formed joining vertices of the polygon. Find the number of triangles

if two sides of trinangle coincide with the sides of polygon.___

Answer 1

The number of triangles formed by joining the vertices of a regular polygon can be found by using the formula n(n-3)/2, where n is the number of sides of the polygon. For a regular polygon with 10 sides, there are 35 triangles.

Step-by-step explanation:

To find the number of triangles formed by joining the vertices of a regular polygon, we need to consider the number of diagonals in the polygon.

The number of triangles formed by joining the vertices of a regular polygon can be found by using the formula n(n-3)/2, where n is the number of sides of the polygon. For a regular polygon with 10 sides, there are 35 triangles.

For an n-sided polygon, the number of diagonals can be calculated using the formula n(n-3)/2. In this case, since the regular polygon has 10 sides, the number of diagonals (and triangles) formed is 10(10-3)/2 = 35.