Question

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

Answer 1

that is correct

Explanation:

AB = 102

Explanation:

the median CT bisects the side AB at T , then

BT = AT , that is

7x + 9 = 5x + 21 ( subtract 5x from both sides )

2x + 9 = 21 ( subtract 9 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

then

AB = 5x + 21 + 7x + 9 = 12x + 30 = 12(6) + 30 = 72 + 30 = 102

Answer 2

26

Explanation:

CT is median which bisects, divides into two equal parts, AB.

That means BT = TA.

Then, to find the measure of AB, we can write the following equation:

9x + 4 = 4x + 9

• Transfer like terms to the same side of the equation.

9x - 4x = 9 - 4

• Subtract the expressions.

5x = 5

• Divide both sides with 5.

x = 1

The measure of AB, is 13x + 13 replace x with 1:

13×1 + 13 = 26