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The hypotenuse of a right triangle is 4 times the smallest side. the third side is the square root of 735. find the hypotenuse and the smallest side.
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The hypotenuse of a right triangle is 4 times the smallest side. the third side is the square root of 735. find the hypotenuse and the smallest side.

User Kirill
by
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1 Answer

3 votes
smallest side = x
hypotenuse = 4x

By the Pythagorean theorem:

(4x)² - x² = (√735)²
16x² - x² = 735
15x² = 735
x² = 735/15
x² = 49
x = √49
x = 7 ← smallest side

hypotenuse = 4x = 4*7 = 28
User Krishna Ganeriwal
by
7.8k points
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