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Pythagorean Theorem

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The Pythagorean Theorem can also be proved directly, by choosing 0 at the right angle of a right-angled triangle whose other two vertices are u and v.

Show that |v - u|^2 = |u|^2 + |v|^2 under these conditions, and explain why this is the Pythagorean theorem.

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Solution Summary

Pythagorean Theorem is clearly exemplified.

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The vectors u and v are perpendicular in this situation, so the dot product u.v = 0. Notice ...

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