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 $DX$?
+321 Bruh it's so obvious that this is an AoPs question. Anyways, use this link https://web2.0calc.com/questions/triangles_9
