Question

b is the midpoint of ac. find ab. a 7x - 6 b 12 - 2x c

Explanation:

Step1: Use mid - point property

Since B is the mid - point of AC, then AB = BC. So, 7x−6 = 12−2x.

Step2: Solve the equation for x

Add 2x to both sides: 7x + 2x−6=12−2x + 2x, which simplifies to 9x−6 = 12. Then add 6 to both sides: 9x−6 + 6=12 + 6, getting 9x = 18. Divide both sides by 9: x = 2.

Step3: Find the length of AB

Substitute x = 2 into the expression for AB. AB=7x−6, so AB = 7(2)−6 = 14 - 6=8.

Answer:

8