Geometry Construction

Sides of Triangle

animation sum of 2 sides of triangle is greater than 3rd side

A triangle is only possible when sum of any two sides is greater than the third side. Let us assume that each side measures 1 unit. In that case sum of any 2 sides = 2 unit. It will always be greater than 3rd side. So, equilateral triangles are always possible. Let us now assume that 2 sides of a triangle are of 2 units each, but the 3rd side measures 2 unit. In this case, sum of two shorter sides is equal to the third side. It is not possible to make a triangle in this case.