In ∆ABC, AB = 7cm, BC = 10cm, and AC = 8cm. If AD is the angle bisector of ∠BAC, where D is a point on Bc, then DC (in cm) =?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. FormatFormat
AB = 7, AC = 8
BD + DC = BC = 10
BD = 10 - DC
Here, AD is the angle bisector of BAC.
So,
AB/AC = BD/DC
⇒ 7/8 = (10 - DC)/DC
⇒ DC = 80/15 = 16/3