Question

Determine the length of line segment AC​

Answer 1

AC = 15 units

Explanation:

Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

`(AB)/(BC)` =
`(AD)/(DC)` , substitute values

`(12)/(18)` =
`(6)/(x)` ( cross- multiply )

12x = 108 ( divide both sides by 12 )

x = 9

Then

AC = 6 + 9 = 15 units

Answer 2

9

Explanation: