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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 $ABC.$

 Jun 9, 2024
 #1
avatar+129881 
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              A

        15       45                   

 

               24

     

B               D                C

 

If AD is a  bisector  and angle BAC  = 60

Then angle CAD should be 30 , not 45

 

cool cool cool

 Jun 9, 2024

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