Question

I is the center of the triangle AI=3x+7, BI+5x-11, & CI=52-2x

Answer 1

The question is incomplete,the complete question is given below.

I Is The Incenter Of The Triangle AI-3x+7, BI-5x-11, & CI-52-2x X-?

Answer:

The value of x is 9.

Step-by-step explanation:

Given,

ABC is a triangle in which I is the incenter of the triangle.

Solution,

Since I is the incenter of the triangle.

Incenter is the point where three angle bisectors of the triangle meets.

so AI = BI = CI

$\therefore 3x + 7 = 5x - 11\\5x-3x=7+11\\2x=18\\x=\frac{18}{2}$

$x=9$

So,

$AI=3x+7=3\times9+7=27+7=34$

$BI=5x-11=5\times9-11=45-11=34$

$CI = 52 - 2x=52-2\times9=52-18=34$

Thus the value of x is 9.