Question 77
be $O$ e $H$ the circumcenter and the orthocenter of the triangle $\triangle ABC$, respectively. be $O_1$, $O_2$ such that $AC$ It is a motor of $OO_1$ e $BC$ It is a motor of $OO_2$, respectively.
a) check that $\angle BAH = \angle OAC$.
b) If $M$ is the midpoint of $BC$, show that $OM = \frac{AH}{2}$.
c) Find the angle $\angle O_1 H O_2$ knowing that $\angle BAC = 60^\circ$ e $\angle ABC = 80^\circ$.
a) check that $\angle BAH = \angle OAC$.
b) If $M$ is the midpoint of $BC$, show that $OM = \frac{AH}{2}$.
c) Find the angle $\angle O_1 H O_2$ knowing that $\angle BAC = 60^\circ$ e $\angle ABC = 80^\circ$.