SOLUTION: the length of one leg of a right triangle is 6ft . the legth of the hypotenuse is 2 feet longer than the other leg. find the legth of the hypotenuse and the other leg.

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Question 296741: the length of one leg of a right triangle is 6ft . the legth of the hypotenuse is 2 feet longer than the other leg. find the legth of the hypotenuse and the other leg.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since it's a right triangle, it obeys the Pythagorean theorem.
A%5E2%2BB%5E2=H%5E2
Let A=6 and H=B%2B2, then
6%5E2%2BB%5E2=%28B%2B2%29%5E2
36%2BB%5E2=B%5E2%2B4B%2B4
4B=32
highlight_green%28B=8%29
Then from above,
H=B%2B2
highlight_green%28H=10%29