Question 16
In the diagram below, $AEB$ is an isosceles right-angled triangle and $ABG$ is a $30^\circ$-$60^\circ$-$90^\circ$ right-angled triangle with $\angle GAB=30^\circ$. The sides $AG$ and $BE$ intersect at $H$. If the area of triangle $AHE$ is $50$ cm$^2$, find the area of triangle $BGH$ in cm$^2$.
