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  • In a triangle ABC it is given that AB = 6 cm AC = 8 cm, and AD is the bisector of angle BAC. Then, BD:DC ? <img alt="" src="https://cdn.entrance360.com/media/uploads/2020/12/18/tringle207

In a triangle ABC it is given that AB = 6 cm AC = 8 cm, and AD is the bisector of angle BAC. Then, BD:DC ?

Option: 1

3:4


Option: 2

4:3


Option: 3

9:16


Option: 4

16:9


Answers (1)

best_answer

Given that AD is the angle bisector of angle BAC

From the concept of angle bisector theorem

\\\frac{AB}{AC}=\frac{BD}{DC}\Rightarrow \frac{6}{8}=\frac{BD}{DC}\\\Rightarrow BD:DC=3:4

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Pankaj

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