Show that a convex polygon of m sides has `(m(m-3))/2` diagonals

N-sides of a convex polygons and n>3 then it has (n(n-3))/(2) diagonals.

If a polygon of n sides has 275 diagonals,then n=

A regular polygon of n sides has 170 diagonals.Then n=

The number of diagonals of a convex polygon of sides n is equal to (n(n-3))/(2) . Find the number of diagonals is hexagon.

In a convex polygon of 6 sides two diagonals are selected at random. The probability that they interesect at an interior point of the polygon is

A polygon of n sides has (n(n - 3))/(2) diagonals. How many sides a polygon has with 54 diagonals?

Consider a convex polygon, which has 44 diagonals, then the number of triangles formed by joining the vertices of polygon in which exactly one side is common in triangle and polygon, is