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In a ∆ABC, AD is the bisector of ∠A, meeting side BC at D. If BD = 2.5 cm, AB = 5 cm and AC = 4.2 cm, find DC

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Question taken from RD sharma
Class 10th
Chapter no. 4
Chapter name:- Triangles
Exercise :- 4.3
This is very basic and important questions.

In this question we have been given a ∆ABC,in which AD is the bisector of ∠A, meeting side BC at D.

Also we have that BD = 2.5 cm, AB = 5 cm and AC = 4.2 cm,

Now we have to find DC

 

Understanding and learning CBSE maths
RD sharma, DHANPAT RAI publication

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1 Answer

  1. Given: Δ ABC and AD bisects ∠A, meeting side BC at D. And AB = 3.5 cm, AC = 4.2 cm, and DC = 2.8 cm.

    Required to find: BD

    R D Sharma Solutions For Class 10 Maths Chapter 4 Triangles ex 4.3 - 3

    Since, AD is the bisector of ∠ A meeting side BC at D in Δ ABC

    ⇒ AB/ AC = BD/ DC

    3.5/ 4.2 = BD/ 2.8

    4.2 x BD = 3.5 x 2.8

    BD = 7/3

    ∴ BD = 2.3 cm

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