Question

8. Part A: Find the value of x.

A. x=2
B. x=3
C. x=4
D. x=6
8. Part B: In the previous question, what is the distance from a side of the triangle to the incenter?
A. 23 units
B. 15 units
C. 11 units
D. 7 units

If someone could help me, I would very much appreciate it!!

Answer 1

8.x=3

part B. 15 units

Answer 2

x =2

7 units

Explanation:

• Let O is the incenter
• Let D is the point on line AB where OD = 4x -1
• Let E is the point on line BC where OE = 6x -5

As we can see, OD = OE

<=> 4x -1 = 6x -5

<=> 2x =4

<=> x=2

Substitute x = 2 into OD we have:

4*2 -1 = 7 units

or Substitute x = 2 into OE we have:

6*2 -5 = 7 units

So the distance from a side of the triangle to the incenter is 7 units