Question

Help!!
What is the relationship between the corresponding angle bisectors BD and XZ?

Answer 1

XZ = 2.5 BD

Explanation:

Comparing the two triangles,

`(BD)/(BC)` =
`(XZ)/(XY)`

`(6)/(8)` =
`(XZ)/(20)`

⇒ XZ =
`(20*6)/(8)`

= 15

XZ = 15

So that,

BD:XZ = 6:15

= 1:2.5

Therefore, the relationship between BD and XZ is XZ = 2.5 BD.