SOLUTION: What are the dimensions of a rectangle if the diagonal’s length is 13 inches and the area is 60 in ² ?

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Question 477807: What are the dimensions of a rectangle if the diagonal’s length is 13 inches and the area is 60 in ² ?

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
It's 5 by 12. It's the most popular right triangle after the 3, 4, 5 one.
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You can work it the hard way:
a%5E2+%2B+b%5E2+=+13%5E2
a*b = 60
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b = 60/a
a%5E2+%2B+%2860%2Fa%29%5E2+=+169
a%5E4+%2B+3600+=+169a%5E2
a%5E4+-+169a%5E2+%2B+3600+=+0
%28a%5E2+-+25%29%2A%28a%5E2+-+144%29+=+0
etc