Question

This figure shows triangle XYZ: MZ is the angle bisector of <YZX. what is XM?

Answer 1

XM = 5.5

Explanation:

Since MZ is the angle bisector of ∠YZM, then the following ratios are equal

`(ZY)/(ZX)` =
`(YM)/(XM)`

substitute the given values into the equation

`(7)/(11)` =
`(3.5)/(XM)` ( cross- multiply )

7XM = 38.5 ( divide both sides by 7 )

XM = 5.5