Question

In a ΔABC it is given that AB = 6 cm, AC = 8 cm and AD is the bisector of ∠A. Then, BD : DC = ?

विकल्प

• 3 : 4

• 9 : 16

• 4 : 3

• `sqrt(3) : 2`

Answer 1

3 : 4

Explanation:

By the Angle Bisector Theorem, the internal bisector AD divides the opposite side in the ratio of the adjacent sides.

So, BD : DC = AB : AC

= 6 : 8

= 3 : 4