Question

High school geometry

Answer 1

BD = 3.75 units

Explanation:

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

`(AB)/(AC)` =
`(BD)/(CD)` , substitute values

`(6)/(8)` =
`(BD)/(5)` ( cross- multiply )

8 BD = 30 ( divide both sides by 8 )

BD = 3.75 units