Question

If AC = 57, find the measure of AB.

Segment Addition Postulate - Meaning, Formula & Examples

Answer 1

AB = 27

Explanation:

AC = AB + BC

`{ \rm{57 = 3x + (4x - 6)}} \\ \\ { \rm{57 = 7x - 6}} \\ \\ { \rm{7x = 57 + 6}} \\ \\ { \rm{7x = 63}} \\ \\ { \rm{x = 9}}`

Therefore;

`{ \rm{AB = 3x = 3 * 9}} \\ { \boxed{ \rm{AB = 27}}}`