Question

In Triangle ABC, the length of Segment AB is equal to the length of segment AC. The length of segment BC is 4 less than twice the length of segment AB. If the perimeter of Triangle ABC is 52, find the length of segment AB.

Answer 1

Step-by-step explanation:

Let x be the length of segment AB.

Then the length of segment BC is (2x - 4).

The length of segment AC is x.

We know that x + (2x - 4) + x = 52.

Therefore 4x - 4 = 52, 4x = 56, x = 14.

Hence the length of segment AB is 14.