Question

Find the value of the X, Triangle Similarity

Answer 1

x = 22.5

Explanation:

the segment from the vertex to the base is an angle bisector and divides the opposite side ( base) into segments that are proportional to the other two sides, that is

`(9)/(x-9)` =
`(12)/(18)` =
`(2)/(3)` ( cross- multiply )

2(x - 9) = 27

2x - 18 = 27 ( add 18 to both sides )

2x = 45 ( divide both sides by 2 )

x = 22.5