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Basic Proportionality Theorem

In a triangle...

Question

In a triangle ABC, AD is the angular bisector and BD: DC = 2:1. If AB = 12 cm, find AC.

6 cm

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4 cm

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12 cm

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14 cm

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Solution

The correct option is A
6 cm

$\frac{A B}{A C} = \frac{B D}{D C}$

AC = 6 cm

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