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

The length of the line segment AC is equal to 14

Step-by-step explanation:

The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.

AB=2x    and AC= 3x - 7

AB = AC

which implies;

2x = 3x - 7

subtract 3x from both-side of the equation

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

-x = -7

Multiply through by -1

x = 7

But we were ask to find the the length of the line segment AC

AC = 3x - 7

substituting x = 7 into the above equation will yield;

AC = 3(7) - 7 = 21 - 7 =14

Therefore the length of the line segment AC is equal to 14

180 square centimeters

step-by-step explanation: