Question 28
In parallelogram $ABCD$, angle $BAD$ is acute and side $AD$ is shorter than side $AB$. The bisector of $\angle BAD$ meets $CD$ at $E$. The perpendicular to $AE$ through $D$ meets $AE$ at $P$ and $AB$ at $F$. The perpendicular to $AE$ through $E$ meets $BC$ at $Q$. Also, $PQ$ is parallel to $AB$ and $AB=20\ \mathrm{cm}$.
a) Find $\frac{CQ}{AD}$.
b) Find the length of $AD$.
a) Find $\frac{CQ}{AD}$.
b) Find the length of $AD$.