A half-circle of diameter $\overline{EF}$ is placed on the side $\overline{BC}$ of a triangle $ABC$ and it is tangent to the sides $\overline{AB}$ and $\overline{AC}$ in the points $Q$ and $P$ respectively. Prove that the intersection point $K$ between the lines $EP$ and $FQ$ lies on the altitude from $A$ of the triangle $ABC$.
Školjka 
is placed on the side 
of a triangle 
and it is tangent to the sides 
and 
in the points 
and 
respectively. Prove that the intersection point 
between the lines 
and 
lies on the altitude from 
of the triangle