Area of Similar Shapes using the Pythagorean Theorem
You will be proving the Pythagorean theorem by constructing squares on the edges of the given right triangle.
Step 1:Construct 3 squares, on each of the three edges of the right triangle given.
Step 2:Find the area of each square.
Step 3:Write a proof of the Pythagorean theorem using the given areas and side lengths of the right triangle.
Questions to answer:
1)Area of each square (3 points)
2)Written proof (3 points)
Homework:
1) Find one more shape that can be used to prove the Pythagorean theorem.
2)Research and write down a different proof of the Pythagorean theorem by a famous mathematician (2 points).