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Q.

In triangle ABC, AD is the bisector of angle A. If AB = 3.5 cm, AC = 4.2 cm, DC = 2.4 cm, then the value of BD is,


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a

1cm

b

2cm

c

3cm

d

4cm 

answer is D.

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Detailed Solution

Given figure where AB = 3.5 cm, AC = 4.2 cm, DC = 2.4 cm is,
Question ImageAccording to the angle bisector theorem, an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.
Using  angle bisector theorem to calculate the value of BD from the equation,
BD DC = AB AC x 2.4 = 10 6 6x=24 x=4   The value of BD is 4  cm.
Hence, option 4 is correct.
 
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In triangle ABC, AD is the bisector of angle A. If AB = 3.5 cm, AC = 4.2 cm, DC = 2.4 cm, then the value of BD is,