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Fudgin [204]
2 years ago
11

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

nd the smallest side.
Mathematics
1 answer:
Alexus [3.1K]2 years ago
4 0
<span>smallest side = x
</span><span>hypotenuse = 4x

</span><span>By the Pythagorean theorem:
</span><span>
(4x)</span>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
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