Question

In ABC, CT is a median. What is the measure of AB?

Fill in the blank by entering just a number for your answer.

Answer 1

AB = 44

Explanation:

the median is a segment that goes from a triangle's vertex to the midpoint of the opposite side , then

AT = TB , that is

8x + 6 = 5x + 12 ( subtract 5x from both sides )

3x + 6 = 12 ( subtract 6 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Then

AB = AT + TB

= 8x + 6 + 5x + 12

= 13x + 18

= 13(2) + 18

= 26 + 18

= 44