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The sides of a triangle are x^(2 )+x+1, 2x+1,x^2-1, prove that the largest angle is 120 degrees, and find range of x.


The sides of a triangle are x^(2 )+x+1, 2x+1,x^2-1, prove that the 

largest angle is 120 degrees, and find range of x.

Grade:11

1 Answers

Ritesh Jain
18 Points
11 years ago

The biggest side is x^(2) + x + 1

so findout the angle opposite to that by

Cos(A) = (b^2 + c^2-a^2)/2*b*c

 

which gives Cos(A) = -1/2 ie 120degress

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