In a $\triangle ABC$, let $H_A,H_B,H_C$ be the projection of $A,B,C$ on $BC,CA,AB$ respectively. And $O$ is the circumcenter
1. Prove that, $OA \perp H_BH_C$.
2. Let a line $\lambda$ be tangent to $(HBC)$ at $H$. Prove that, $OA \perp \lambda$.
dshasan wrote:Define $H_BH_C$.
Thanic Nur Samin wrote: $MN||AH$
Mallika Prova wrote:surely it wants to be $MN||AO$ ??
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