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The two legs of a right triangle are 20 and x - 8, and the hypotenuse is x. Find the length of the hypotenuse.

The two legs of a right triangle are 20 and x - 8, and the hypotenuse is x. Find the length of the hypotenuse.
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2 votes
The two legs of a right triangle are 20 and x - 8, and the hypotenuse is x. Find the length of the hypotenuse.

User Mazlix
by
7.5k points

1 Answer

6 votes
20^2 + (x-8)^2 = x^2

x^2 = 400 + x^2 -16x + 64

16x = 464

x = 29 = hypotenuse

Double - Check
29^2 = 20^2 + 21^2
841 = 400 + 441

User Tania Petsouka
by
8.0k points
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