SOLUTION: if a and b are the lengths of the legs of a right triangke who hypotenuse is 10 and whose area is 20, what is the value of (a+b)2

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Question 518474: if a and b are the lengths of the legs of a right triangke who hypotenuse is 10 and whose area is 20, what is the value of (a+b)2
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
a%5E2%2Bb%5E2=10%5E2, and a%2Ab%2F2=20 or 2ab=80, (multiply by 4)
Since %28a%2Bb%29%5E2=a%5E2%2B2ab%2Bb%5E2, substituting we get:
%28a%2Bb%29%5E2=100%2B80=180