SOLUTION: The sides of a triangle are x,y, and sqrt(x^2+xy+y^2). Find its largest angle.

Question 934926: The sides of a triangle are x,y, and sqrt(x^2+xy+y^2). Find its largest angle.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Since they are lengths of the sides of a triangle,
and .
Then,
and
.
So, the side measuring is the longest side, and the angle opposite that side is the largest angle, which I will call .
The law of cosines, applied to a triangle ,
with side opposite angle , formed by sides and says

Dividing both sides by we get
--->--> or .
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