CEMC Fermat, 2008

Geometry Difficulty 2.0 Junior Find the answer Canada

In the diagram, the circles with centres $P$ , $Q$ and $R$ have radii $3$ , $2$ and $1$ respectively. Each circle touches the other two as shown. The area of $\triangle PQR$ is

(A) $12$ (B) $6$ (C) $7.5$ (D) $10$ (E) $4$

Figure for this problem

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