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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 $XYZ$.

 

It was answered here

https://web2.0calc.com/questions/in-triangle-xyz-we-have-and-the-bisector-of-intersects#r7

but that answer is wrong.

 Jul 31, 2021
 #1
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forgot to add this

 Jul 31, 2021
 #2
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Both answers (Dragan's and heureka's) are correct!!!

 

[XYZ] = 340.7076581   (!!!)

 Jul 31, 2021
edited by Guest  Jul 31, 2021
 #3
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You have asked this question appropriately, thanks for that,  but you have not said why do you think the original answers are incorrect?  

 

I have not looked at it but if Heueka, Dragan and Jugoslav all have the same answer I would say it is most likely correct.

They are all respected members.

Melody  Aug 6, 2021

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