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In triangle $ABC,$ the angle bisector of $\angle BAC$ meets $\overline{BC}$ at $D.$ If $\angle BAC = 60^\circ,$ $\angle CAD = 45^\circ,$ and $AD = 24,$ then find the area of triangle $ABC.$

 Jul 14, 2024
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                A

            30   30

 

B                D              C

 

Impossible

AD is a bisector

Angle CAD  =  60/2 =  30

So...it can't also  = 45

 

cool coolvcool

 Jul 14, 2024

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