Question 11
In a triangle $ABC$ let $H$ be the intersection point of its heights. It is known that the measure of angle $\angle BAC$ is $60^\circ$. If $J$ belonging to the side $AC$ is taken such that $AJ$ is double $JC$, it holds that $JH = JC$.
Given the location of $A$ and $H$, construct the triangle $ABC$ with a ruler and compass.
Given the location of $A$ and $H$, construct the triangle $ABC$ with a ruler and compass.