Question 97
Given a triangle $ABC$ with sides $AB = 13$, $BC = 14$ and $AC = 15$, let $H$ be the foot of the altitude to side $BC$, $M$ the midpoint of $BC$ and $N$ the midpoint of $AM$. What is the length of $HN$?
(A) $2 + 2\sqrt{3}$
(B) $6$
(C) $\sqrt{37}$
(D) $4 + \sqrt{7}$
(E) $\sqrt{42}$
(A) $2 + 2\sqrt{3}$
(B) $6$
(C) $\sqrt{37}$
(D) $4 + \sqrt{7}$
(E) $\sqrt{42}$