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Andreas93 [3]
3 years ago
11

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

Mathematics
1 answer:
Arturiano [62]3 years ago
8 0

Answer:

C

Step-by-step explanation:

<u>Angle's bisector property:</u> 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:

\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.

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

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