The Isosceles Right Triangle Puzzle

It is easy to completely cover an Isosceles Right Triangle with **two** congruent shapes without

any overlap. It is also easy is to do this with **four** congruent shapes. (see the diagram below)

Not so easy is how best to cover an Isosceles Right Triangle with **three** congruent shapes.

In fact, it is impossible to completely cover the triangle without overlap, but you *can* get close.

Your challenge: Find the shape that will best cover an Isosceles Right Triangle with

**three** congruent copies, and calculate what fraction of the triangle they can cover.