Problem

Source: 2022 Yasinsky Geometry Olympiad VIII-IX advanced p3 , Ukraine

Tags: geometry, construction



Reconstruct the triangle$ ABC$, in which $\angle B - \angle C = 90^o$ , by the orthocenter $H$ and points $M_1$ and $L_1$ the feet of the median and angle bisector drawn from vertex $A$, respectively. (Gryhoriy Filippovskyi)