# Pythagorean Theorem I

Below is a right angled triangle (pink) with legs a(blue) and b(green) and hypotenuse c(red). You can change the size of the triangle by pulling on the points. Below, 4 copies of the triangle are arranged inside a large square. In each case there is some part of the square the triangles do not cover. Discover how the areas of these regions are related.

In the square on the left, what is the area of the purple square?

In the square on the right, what is the area of the small light blue square?

In the square on the right, what is the area of the large orange square?

What can you conclude from your observations about the squares from the diagram? Justify your answer.