SOLUTION: the length of one leg of a right triangle is 9 ft. the length of the hypotense is 3 ft longer the the other leg. find the legth of the hypotense and the other leg. i have 9,hypoten

Algebra ->  Length-and-distance -> SOLUTION: the length of one leg of a right triangle is 9 ft. the length of the hypotense is 3 ft longer the the other leg. find the legth of the hypotense and the other leg. i have 9,hypoten      Log On


   

Question 214092: the length of one leg of a right triangle is 9 ft. the length of the hypotense is 3 ft longer the the other leg. find the legth of the hypotense and the other leg. i have 9,hypotense and 6leg is that right
Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
Set one leg to x and the hypoteneuse to x+3. Then use the Pythagorean theorem:
x%5E2%2B9%5E2=%28x%2B3%29%5E2
x%5E2%2B81=x%5E2%2B6x%2B9
6x%2B9=81
6x=72
x=12
So the leg is 12, and the hyp. is 12+3=15
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Good Luck,
tutor_paul@yahoo.com