Question

Two corners of a triangle have angles of `(5 pi )/ 8` and `( pi ) / 2`. If one side of the triangle has a length of `5`, what is the longest possible perimeter of the triangle?

Answer 1

As explained below.

Explanation:

Sum of the three angles of a triangle can not exceed `180^0 or pi` radians.
But in the given sum, two angles account for `(9pi)/8` which is more than `180^0 or pi^c`. Hence the sum needs correction.