Question 98
Point $L$ is marked on the side $AB$ of a triangle $ABC$. The incircle of the triangle $ABC$ meets the segment $CL$ at points $P$ and $Q$.
Is it possible that the equalities $CP = PQ = QL$ hold if $CL$ is
a) the median?
b) the bisector?
c) the altitude?
d) the segment joining vertex $C$ with the point $L$ of tangency of the excircle of the triangle $ABC$ with $AB$?
Is it possible that the equalities $CP = PQ = QL$ hold if $CL$ is
a) the median?
b) the bisector?
c) the altitude?
d) the segment joining vertex $C$ with the point $L$ of tangency of the excircle of the triangle $ABC$ with $AB$?