Question

45.
If x' +x+1, 2x +1, x²-1 are the sides of a triangle, then its largest angle is
T
a)
b)
c) *
2T
d)
3
21
2
4.​

Answer 1

Step-by-step explanation:

Given:-

the angles of a triangle are

${x}^{2}+x+1,2x+1,{x}^{2}-1$

To find:-

The largest angle

Solution:-

As we know that in a triangle

${\boxed{The\:sum\:of\:angles=180°}}$

According to formula

${x}^{2}+x+1+2x+1+{x }^{2}-1 =180$

${:}\longrightarrow$${x}^{2}+{x}^{2}+x+2x+1+1-1=180$

${:}\longrightarrow$${2x}^{2}+3x+1=180$

${:}\longrightarrow$$2x {}^{2}+3x-179=0$