Question

in triangle ABC it is given that AB=6cm AC=8cm and AD is the bisector of <A.Then ,BD:DC=?​

Answer 1

Answer:

3:4

Step-by-step explanation:-

by angle bisector theorem,

bd/dc=ab/ac

==>bd/dc=6/8

==>bd/dc=3/4

so,

bd:dc = 3:4

HOPE IT HELPS U :)

Answer 2

Given:

• AB = 6cm
• AC = 8cm
• AD is the bisector of ∠A

To Find:

• The ratio of BD:DC.

Solution:

• Let us construct a triangle using the given data.
• From the ΔABC we can come to few conclusions,
• In ΔABD and ΔACD,
• we have ∠BAD = ∠CAD
• So, $\frac{BD}{DC} = \frac{AB}{AC}$  ( By basic proportionality theorem)
• Substitute the values in the equation formed.
• ⇒  $\frac{6}{8} = \frac{3}{4}$
• Hence,
• BD/DC = 6/8 ⇒ BD/DC = 6:8 = 3/4
• ⇒BD/DC = 3/4
• ⇒ BD:DC = 3:4

∴The value of BD:DC = 3:4