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Math 2 #16

Task 1 of 3

What is the area of the white space in square ? 

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Task 2 of 3

Rearrange the triangles inside the square so that their hypotenuses form the sides of a square.

Task 2 of 3

What is the area of the white square you just formed? (Give your answer in terms of its side length, .

Task 3 of 3

Explain how this is a proof of the Pythagorean theorem.