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HippoCampus Algebra & Geometry
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Use ∆BCA to answer the question that follows. The two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles. Statement Justification Draw an altitude from point C to Let = a = b = c = h = x = y y + x = c a2 = cy; b2 = cx a2 + b2 = cy + b2 a2 + b2 = cy + cx a2 + b2 = c(y + x) a2 + b2 = c(c) a2 + b2 = c2 Which is NOT a justification for the proof? Addition Property of Equality Pythagorean Theorem Pieces of Right Triangles Similarity Theorem Cross Product Property
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