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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

Given Angle 1 Angle 2 If ACBC 35 and AB 12 find DBPlease Explain Step by step if possibleA 15B 45C 75 D 12 class=

Respuesta :

frika

Answer:

C

Step-by-step 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:

[tex]\dfrac{AC}{BC}=\dfrac{AD}{BD},\\ \\\dfrac{3}{5}=\dfrac{x}{12-x},\\ \\3(12-x)=5x,\\ \\36-3x=5x,\\ \\8x=36,\\ \\x=\dfrac{36}{8}=4.5.[/tex]

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

Xxpandapup

Answer:

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

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