Question 26
Let $A$, $B$ and $C$ be the vertices of a triangle, and $P$, $Q$ and $R$ the respective feet of the angle bisectors from these vertices. Given that $PQR$ is right-angled at $P$, prove:
a) $ABC$ is obtuse.
b) Although quadrilateral $ARPQ$ is not cyclic, the sum of its opposite angles is constant.
a) $ABC$ is obtuse.
b) Although quadrilateral $ARPQ$ is not cyclic, the sum of its opposite angles is constant.