One leg of a right triangle is 8 inches less than the hypotenuse. The other leg is 12 inches. Find the length of hypotenuse.

Tobsecret asked Oct 25, 2023

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13 votes

Tobsecret asked Oct 25, 2023

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20 votes

Answer:

13 in

Explanation:

Let the hypotenuse be x. Then, by the Pythagorean theorem,

$(x-8)^2 + 12^2=x^2 \\ \\ x^2-16x+64+144=x^2 \\ \\ 16x=64+144 \\ \\ x=4+9 \\ \\ x=13$

Gawbul answered Oct 29, 2023

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