The sides of a triangle are given to be $$ x^2 +x +1 ,$$ $$2x+1,$$ $$x^2-1$$Then find the largest of the three angle of the triangles .
I tried by applying
hero's formula and then equating to the formula
$$ 0.5 bc \sin\theta $$. But using these methods , then i have to try 3 times for each angle . And still i cant get the value of x. I think i can do it throuh by randomly assigning a value to x and then get the value of the angle opposite to the longest side.
Thanks in advance.