Question

Given: Angle 1 = Angle 2. If AC:BC = 3:5 and AB = 12, find DB.

Please Explain Step by step if possible.

A) 1.5

B) 4.5

C) 7.5

D) 12

Answer 1

its C!! got it right on my assignment :D

Answer 2

C

Explanation:

Angle's bisector property: Angle bisectors divide the opposite side in the ratio of the adjacent sides.

Let AD = x, then BD = 12 - x. Use the angle's bisector property:

`(AC)/(BC)=(AD)/(BD),\\ \\(3)/(5)=(x)/(12-x),\\ \\3(12-x)=5x,\\ \\36-3x=5x,\\ \\8x=36,\\ \\x=(36)/(8)=4.5.`

If AD=4.5, then BD=12-4.5=7.5.