Question

If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

Please show all work and not just the answers.

Answer 1

49, 49 , 98

Explanation:

AC = AB + BC = 2AB

• 3x - 31 = 2(x+6)
• 3x - 31 = 2x + 12
• 3x - 2x = 12 +31
• x = 43

AB= BC = x + 6 = 43 + 6 = 49

AC = 2AB = 2* 49 = 98