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
[tex]\therefore 3x + 7 = 5x - 11\\5x-3x=7+11\\2x=18\\x=\frac{18}{2}[/tex]
[tex]x=9[/tex]
So,
[tex]AI=3x+7=3\times9+7=27+7=34[/tex]
[tex]BI=5x-11=5\times9-11=45-11=34[/tex]
[tex]CI = 52 - 2x=52-2\times9=52-18=34[/tex]
Thus the value of x is 9.
