For this question, assume the Parallel Postulate P-1 (a) State the Pythagorean Theorem carefully. (b) Use the diagram below to prove the Pythagorean Theorem, using the formula for the area of a square and the fact that congruent triangles have the same area. a a b. (c) Prove the second part of the Pythagorean Theorem, i.e., prove that if a triangle has side lengths a, b, and e such that a? + b? = c², then it is a right triangle.

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