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SMO 2013 Senior Round 1 Question 24

SMO · SMO 2013 Senior Round 1

Question 24

$ABC$ is an equilateral triangle of side length $30$. Fold the triangle so that $A$ touches a point $X$ on $BC$. If $BX=6$, find $k$, where $\sqrt{k}$ is the length of the crease obtained from folding.

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