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SMO 2013 Junior Round 1 Question 17

SMO · SMO 2013 Junior Round 1

Question 17

Let $ABCD$ be a square, with points $X,Y$ as shown, and $XY=6$, $AX=8$, $AY=10$. Its area is $m/n$ square units, where $m,n$ are coprime positive integers. Find $m+n$.

Question illustration