Question extracted from RD sharma of class 10th, Chapter no. 4

Chapter name:- Triangles

Exercise :- 4.3

This is very basic and important questions. And has been asked in several times in exams.

In this question we have been given the measure of sides of triangle ABC and we have to to find out if AD is Angle bisector of A or not by using triangles basic properties.

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RD sharma, DHANPAT RAI publication

AB=4cm

AC=6cm

BD=1.6cm

CD=2.4cm

ACAB=64≈0.67 (1)

CDBD=2.41.6≈0.67 (2)

(1)=(2)

Hence AD is the bisector of ∠A of △ ABC