Long ago, mathematicians realized that there is a special relationship between the three squares that can be formed using the sides of a right triangle.

A right triangle with a square attached to each of its legs, such that the smallest leg (a) has an orange square composed of 9 square units, the longer leg (b) has a pink square composed of 16 square units, and the red square off the hypotenuse (c) is composed of 25 square units

How would you describe the relationship you’ve observed between the three squares whose side-lengths are determined by the lengths of the sides of a right triangle?

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