Question 11
The following figure shows a square $ABCD$, and two points $P$ and $Q$ on the sides $\overline{BC}$ and $\overline{DA}$, respectively. 
We now fold the square along the segment $\overline{PQ}$, taking the vertex $B$ to the midpoint of the segment $\overline{CD}$. 
It is known that the side of the square measures 24.
a) Calculate the length of the segment $\overline{PC}$.
b) Calculate the length of segment $\overline{AQ}$.
c) Calculate the length of segment $\overline{PQ}$.
We now fold the square along the segment $\overline{PQ}$, taking the vertex $B$ to the midpoint of the segment $\overline{CD}$. It is known that the side of the square measures 24. a) Calculate the length of the segment $\overline{PC}$.
b) Calculate the length of segment $\overline{AQ}$.
c) Calculate the length of segment $\overline{PQ}$.