AMC 12 2016a Problem 15

Circles with centers $P, Q$ and $R$, having radii $1, 2$ and $3$, respectively, lie on the same side of line $l$ and are tangent to $l$ at $P', Q'$ and $R'$, respectively, with $Q'$ between $P'$ and $R'$. The circle with center $Q$ is externally tangent to each of the other two circles. What is the area of triangle $PQR$?

$\textbf{(A) } 0 \textbf{(B) } \frac{\sqrt{6}}{3} \textbf{(C) } 1 \textbf{(D) } \sqrt{6}-\sqrt{2} \textbf{(E) }\frac{\sqrt{6}}{2}$