Question

Find the value of x if A, B, and C are collinear points and B is between A and C.

AB=x,BC=x+2,AC=14
A. 6
B. 10
C. 9
D. 5

Answer 1

x = 6

Option A.

Explanation:

We know that

If A, B and C are collineal points, they all pass through a common line.

<--------------14-------------->

A-----------B----------------C

<-----x-----><------x+2---->

Based on the problem and the diagram above,

(x) + (x+2) = 14

(2x+2) = 14

(2x) = 12

(x) = 6