C-14-Q045: In $\triangle ABC$, $AB = 5$, $AC = 10$, $BC = 12$. If $AD$ bisects $\… | প্রশ্ন করি

C-14-Q045mediumsingle_mcq

In $\triangle ABC$ , $AB = 5$ , $AC = 10$ , $BC = 12$ . If $AD$ bisects $\angle A$ , $BD = ?$

By the Internal Bisector Theorem, $BD:DC = AB:AC = 5:10 = 1:2$ . Therefore .

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8

BD = \dfrac{1}{1+2} \times BC = \dfrac{1}{3} \times 12 = 4