AreaMethod USAMTS Intermediate

2019

Problem - 4640

Circle $\omega$ is inscribed in unit square $PLUM$ and poins $I$ and $E$ lie on $\omega$ such that $U$, $I$, and $E$ are collinear. Find, with proof, the greatest possible area for $\triangle{PIE}$.

The solution for this problem is available for $0.99.
You can also purchase a pass for all available solutions for $99.