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# In triangle $DEF$, we have $DE = DF = 13$ and $EF = 10$. Let $M$ be the midpoint of $\overline{DE}$ and $N$ be on $\overline{EF}$ such that

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In triangle $DEF$, we have $DE = DF = 13$ and $EF = 10$. Let $M$ be the midpoint of $\overline{DE}$ and $N$ be on $\overline{EF}$ such that $\overline{DN}$ is an altitude of triangle $DEF$. If $\overline{DN}$ and $\overline{FM}$ intersect at $X$, then what is $DX$?

Dec 8, 2019