SOLUTION: The hypotenuse of a right triangle is 50 feet . One leg is 10 feet longer than the other one . What are the lengths of the legs? Thanks so much in advance?

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Question 836240: The hypotenuse of a right triangle is 50 feet . One leg is 10 feet longer than the other one . What are the lengths of the legs?
Thanks so much in advance?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2+%2B+%28x+%2B+10%29%5E2+=+50%5E2
x%5E2+%2B+x%5E2+%2B+20x+%2B+100+=+50%5E2
2x%5E2+%2B+20x+%2B+100+=+2500
add -2500 to each side
2x%5E2+%2B+20x+-+2400+=+0
divide each side by 2
x%5E2+%2B+10x+-+1200+=+0
x%2B40%29%28x-30%29+=+0
x = -40 or x = 30
We need a positive number so x = 30
The other leg is 30 + 10 = 40