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In triangle $XYZ$, $\angle X = 60^\circ$ and $\angle Y = 45^\circ$. The bisector of $\angle X$ intersects $\overline{YZ}$ at $W.$ If $XW = 24,$ then find the area of triangle $XYZ$.

 Jun 22, 2020
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By the angle bisector theorem, the area of triangle XYZ is 144 + 48*sqrt(3).

 Jun 22, 2020

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