Question 136
Let $ABCDE$ be a regular pentagon of side $1$ and let $P$ be the intersection of the diagonals $AC$ and $BE$. What is the length of the segment $PC$?
(A) $1$
(B) $\frac{\sqrt{5}}{2}$
(C) $\sqrt{5}-1$
(D) $4(\sqrt{5}-2)$
(E) None of the above.
(A) $1$
(B) $\frac{\sqrt{5}}{2}$
(C) $\sqrt{5}-1$
(D) $4(\sqrt{5}-2)$
(E) None of the above.