SOLUTION: if a:b :: c:d, show that c^2 : d^2 = (a^2 +c^2): (b^2 + d^2)

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Question 389355: if a:b :: c:d, show that
c^2 : d^2 = (a^2 +c^2): (b^2 + d^2)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
a%2Fb+=+c%2Fd ===> a%5E2%2Fb%5E2+=+c%5E2%2Fd%5E2 ====> a%5E2%2Fb%5E2+=+c%5E2%2Fd%5E2+=+%28a%5E2+%2B+c%5E2%29%2F%28b%5E2+%2B+d%5E2%29, using the property of proportions that a%2Fb+=+c%2Fd+=+%28a%2Bc%29%2F%28b%2Bd%29.