# Visual Proof of Pythagorean Theorem

Shown below is a triangle whose sides form squares with sides

*a*,*b*, and*c*.1.) Move slider * p* to the extreme right.

*What is the relationship among the squares when*

**p**was on the extreme left and the quadrilaterals when**p**was on the extreme right?2.) Move slider ** q** to the extreme right.

*What is the relationship among the quadrilaterals when*

**q**was on the extreme left and when**q**was on the extreme right?3.) Move slider ** r** to the extreme right.

*What is the relationship among the quadrilaterals when r was on the extreme left and when r was on the extreme right? *

4.) Based on your exploration, what is the relationship among the areas of the squares with side lengths ** a**,

**, and**

*b***?**

*c*5.) Using the variables, *a*, *b*, and *c* write an equation about the relationship you found in 4.