Question

Question:

In △ABC, AB = 3 and, AC = 4 cm and AD is the bisector of ∠A. Then, BD : DC is —

Solution:

BD/DC = AB/AC =34

So, BD : DC = 3 : 4.

In did not understand how we proved the similarity and how we are taking the sides proportionality. Plz explain. Thank you.

Answer 1

The angle bisector theoremstates that an angle bisector divides the opposite side of a triangle into two segments that are proportional to the triangle's other two sides. In other words,
AB/BD = AC/CD.
Now
AB/AC=BD/DC
Which is the required ratio .
Thats how BD/DC=3/4