It is relatively easy to completely cover an isosceles right triangle with two nonoverlapping congruent shapes. It is also easy to do so using four nonoverlapping congruent shapes.
(see the diagram below)
It is not so easy to cover an isosceles right triangle with three nonoverlapping congruent shapes. In fact, it is impossible! But you can cover most of it.
Your challenge: Find the shape that will best cover an isosceles right triangle with three nonoverlapping congruent copies, and calculate the maximum fraction of the triangle you can cover using that shape.
