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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 $ABC.$

 Dec 14, 2023
 #1
avatar+126978 
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                            A  60

 

                           24

 

              B           D            C

 

If  BAC  is 60°  and  AD is a bisector of  BAC, then angle  CAD  must = 30°, not 45° 

 

 

cool cool cool

 Dec 15, 2023

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