SOLUTION: The area of a right triangle is 48cm^2, find the length of each of its legs if one leg is 4cm longer than the other one.

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Question 946568: The area of a right triangle is 48cm^2, find the length of each of its legs if one leg is 4cm longer than the other one.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=%281%2F2%29BH
48=%281%2F2%29%28X%29%28X%2B4%29
X%5E2%2B4X=96
X%5E2%2B4X-96=0
%28X%2B12%29%28X-8%29=0
We only need the positive solution.
X-8=0
X=8
So the legs are 8 and 12cm long.