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Mathematics, 20.04.2021 07:00 brooke0713

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Part A
The Pythagorean Theorem states that for any given right triangle, a^2+ b^2 = c^2.
Using the Pythagorean Theorem, what would be the relationship between the areas of the three squares (1, 2,and 3)?

Part B
Using squares 1, 2, and 3, and eight copies of the original triangle, you can create squares 4 and 5. What are the side lengths of square 4 and square 5 in terms of a and b? Do the two squares have the same area?

Part C
Write an expression for the area of square 4 by combining the areas of the four triangles and the two squares.

Part D
Write an expression for the area of square 5 by combining the area of the four triangles and one square.

Part E
Since the areas of square 4 and square 5 are the same, set the two expressions equal.

Part F
Which term is on both sides of the equal sign? Since it’s on both sides of the equal sign, you can cancel it out. What is the expression after canceling out the common term?

Part G
What does the equation show after you cancel out a common term?


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