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 `12`, what is the longest possible perimeter of the triangle?

Answer 1

There cannot be triangle with one angle (`(5pi)/8`), which is obtuse and other angle as right angle (`pi/2`). Hence, the question of having perimeter or longest possible perimeter does not arise.