SOLUTION: How would you set up this problem in order to solve it? : One leg of a right triangle is 96 inches. Find the hypotenuse and the other leg if the length of the hypotenuse exceeds 2

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Question 201927: How would you set up this problem in order to solve it? :
One leg of a right triangle is 96 inches. Find the hypotenuse and the other leg if the length of the hypotenuse exceeds 2 times the other leg by 4 inches.

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Pythagorean theorem says c%5E2+=+a%5E2+%2B+b%5E2
You are given one side (a) and also a relationship between the hypotenuse (c) and the other side (b)
c+=+2b%2B4
So
%282b%2B4%29%5E2+=+96%5E2+%2B+b%5E2
2b%5E2+%2B+16b+%2B+16+=+96%5E2+%2B+b%5E2
So now solve for b.
Once you get b, you can then solve for c