Question

In ∆ ABC, ray AD is the bisector of <BAC. It AB =6cm and AC=4.8cm, find BD :DC​

Answer 1

ɪɴ △ᴀʙᴄ, ᴀᴅ ɪs ᴛʜᴇ ʙɪsᴇᴄᴛᴏʀ ᴏғ ∠ᴀ.

∴

ᴅᴄ

ʙᴅ

=

ᴀᴄ

ᴀʙ

⇒

3

4

=

ᴀᴄ

6

⇒ 4ᴀᴄ=18

⇒ ᴀᴄ=

2

9

ᴄᴍ=4.5ᴄᴍ.

Answer 2

Step-by-step explanation:

By Angle bisector theorem: which states that, the ratio of any 2 sides of a triangle is equal to the ratio of the lengths of the segments formed on its third side, by the angle bisector of the angle formed by those 2 sides.

So, here, AB/AC = BD/DC

=> 6/5 = 3 / DC

=> DC = 15/6 = 5/2 = 2.5 cm