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QUESTION
In $\triangle PQR$, we have $\angle P = 30^\circ$, $\angle RQP = 60^\circ$, and $\angle R=90^\circ$. Point $X$ is on $\overline{PR}$ such that $\overline{QX}$ bisects $\angle PQR$. If $PQ = 12$, then
In $\triangle PQR$, we have $\angle P = 30^\circ$, $\angle RQP = 60^\circ$, and $\angle R=90^\circ$. Point $X$ is on $\overline{PR}$ such that $\overline{QX}$ bisects $\angle PQR$. If $PQ = 12$, then what is the area of $\triangle PQX$?
