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**1. Homework Statement**

prove that sin^2(a)=sin^2(b)+sin^2(c) if and only if ABC is a right triangle in A

i worked really hard on this one i'm really confused why i didn' get the answer

**2. Homework Equations**

**3. The Attempt at a Solution**

a+b+c=pi

tried turning everythng to cos 2x didn't helpi really couldn't do this one, can't use complex numbers by the way...please help