Author: mathforces
Problem has been solved: 39 times

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Quadralateral $ABCD$ is incribed in some circle, in which $AB = 1, BC = 10, CD = 100$. The lines $n$ and $m$ are obtained by reflecting $AC$ with respect to $BC$ and $AB$. It turned out that the lines $n$ and $m$ intersect on the line $BD$. Find the value of $AD^2$.