Question

M is the midpoint of segment AB. AM = 3x - 8 and MB = 2x - 1. Find the length of AM.

Answer 1

AB = 13 + 13 = 26

Explanation:

Since M is the midpoint, we know that AM = MB

Thus,

3x-8 = 2x-1

-2x -2x

x - 8 = -1

+ 8 +8

x = 7

The AM = 3(7) - 8 = 13

The MB = 2(7) - 1 = 13

The length of AB = AM + MB which is AB = 13 + 13 = 26