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+8 In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 60^\circ,$ $\angle ABC = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$ [asy] unitsize(3 cm); pair A,B,C,T,X,Y; A = (0,0); C = rotate(60)*(1,0);read more ..
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