Question 47
Let $ABC$ be an isosceles triangle with $\overline{AC} = \overline{BC}$ and $P$ be a point of the circumcircle lying on the arc $CA$ not containing $B$.
Let $E$ and $F$ be the orthogonal projections of the point $C$ onto the lines $AP$ and $BP$, respectively.
Prove that $AE$ and $BF$ have the same length.
W. Janous, Innsbruck
Let $E$ and $F$ be the orthogonal projections of the point $C$ onto the lines $AP$ and $BP$, respectively.
Prove that $AE$ and $BF$ have the same length.
W. Janous, Innsbruck