Pythagorean Animation
Relate the Pythagorean Theorem to area by rearranging partitions of a square.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
When you change the lengths of sides and , what effect does that have on the length of side ? How are the sizes of the squares with areas , , and affected?
If you were able to make a right triangle with legs that had lengths of , and , what can you say about the area of a square with side lengths equal to ?
What is the relationship between the areas of the squares with side lengths , , and ?