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mezya [45]
3 years ago
5

Can someone please help me out with this geometry problem? I've been stuck on it for almost an hour.

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0

Answer:

The answer is x = 16

Step-by-step explanation:

Solution:

Let we first name the Triangle as Δ ABC and ray BD as a bisector of ∠B

as shown in the figure below.

As ray BD is the bisector of angle B so, by Angle bisector theorem property we have

\frac{AB}{BC} = \frac{AD}{DC}\\

∴ \frac{x}{12} =\frac{x-4}{9}

∴ \frac{x}{4} = \frac{x-4}{3}

∴ 3x = 4x -16

∴  x = 16  final answer

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