Question 29
A trapezium $ABCD$, in which $AB$ is parallel to $DC$, is inscribed in a circle of radius $R$ and centre $O$. The non-parallel sides $DA$ and $CB$ are extended to meet at $P$ while diagonals $AC$ and $BD$ intersect at $E$.
Prove that $|OE| \cdot |OP| = R^2$.
Prove that $|OE| \cdot |OP| = R^2$.