Triangle ABC is shown below. What is the length of line segment AC?
7, 9, 14, 18

Solution:

Since ∠ABC = ∠ACB, triangle ABC is an isosceles triangle.

Therefore,

AB = AC

AB = 2x

AC = 3x - 7

Equating the two sides we get

2x = 3x - 7

Subtracting 2x from both sides

2x - 2x = 3x - 2x -7

0 = x - 7

Adding 7 to both sides we have:

0 + 7 = x - 7 + 7

7 = x + 0

x = 7

AC = 3x - 7

AC = 3(7) - 7

= 21 - 7

= 14

Triangle ABC is shown below. What is the length of line segment AC?

Summary:

The length of line segment AC in the Triangle ABC is 14.