Question

What is the value of x?

Answer 1

x = 3

Explanation:

CD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

`(BD)/(AD)` =
`(BC)/(AC)` ( substitute values )

`(x)/(2.25)` =
`(4)/(3)` ( cross- multiply )

3x = 4 × 2.25 = 9 ( divide both sides by 3 )

x = 3