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- Feb 14, 2012

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The sides $a,\,b,\,c$ and $u,\,v,\,w$ of two triangles $ABC$ and $UVW$ are related by the equations

$u(v+w-u)=a^2\\v(w+u-v)=b^2\\w(u+v-w)=c^2\\$

Prove that $ABC$ are acute, and express the angles $U,\,V$ and $W$ in terms of $A,\,B$ and $C$.

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