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Triangle 1 green is the original right triangle we started with Triangle 2 red is...

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Geometry

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Triangle 1 green is the original right triangle we started with Triangle 2 red is the other triangle formed by constructing CD Its right angle is angle D By comparing these two triangles we see that Therefore a cp Now let s complete the proof By adding the two equations we will get What do we notice about the side length p q So we can substitute p q for a b cp cq a b c p q By substitution we get a b c

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