Question 24
Let $AB\Gamma\Delta$ be a square of side $\alpha$. On the side $A\Delta$ we take points $E$ and $Z$ such that $\Delta E = \frac{\alpha}{3}$ and $AZ = \frac{\alpha}{4}$.
If the lines $BZ$ and $\Gamma E$ intersect at point $H$, express the area of the triangle $B\Gamma H$ as a function of $\alpha$.
If the lines $BZ$ and $\Gamma E$ intersect at point $H$, express the area of the triangle $B\Gamma H$ as a function of $\alpha$.