TriangleCenter LawOfSines Intermediate

Problem - 4273

Let $O$ and $H$ be the circumcenter and orthocenter of $\triangle{ABC}$ respectively. Show that $OH\parallel BC$ if and only if $\tan{B}\tan{C}=3$.

The solution for this problem is available for $0.99. You can also purchase a pass for all available solutions for$99.