Pythagorean Theorem: Application Question

Page 1

Solve for x

Additional construction

5
5 6
5 6 15−6 = 9
5 6 15−6 = 9 9 ←
5 6 9 a = 9
5 6 9 a = 9 b = 5
5 6 9 a = 9 b = 5 a + 2 b = 2 c2
5 6 9 a + 2 b = 2 c2 9 + 2 5 = 2 c2
5 6 9 9 + 2 5 = 2 c2 81+25 = c2
5 6 9 81+25 = c2 106 = c2
5 6 9 106 = c2 = 106 c

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