Question

the triangle ABC .AD is the angle bisector of A. if a b equal to 10 centimetre, ACequal to 14 centimetre, BC equal to 6 CM find bd,dc​

Answer 1

Answer:

Let BD=x cm. Then, DC=(6-x) cm.

Since AD is the bisector of ∠A.

∴

AC

AB

=

DC

BC

⇒

14

10

=

6−x

x

⇒

7

5

=

6−x

x

⇒ 30−5x=7x

⇒ 12x=30

⇒ x=

2

5

=2.5cm

⇒ BD=2.5cm and

DC=(6−x)cm=(6−2.5)cm=3.5cm