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.

okhurana Jul 31, 2021

#2**+1 **

Both answers (Dragan's and heureka's) are correct!!!

**[XYZ] = 340.7076581 (!!!)**

jugoslav Jul 31, 2021

edited by
Guest
Jul 31, 2021

#3**0 **

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