CMAT 2019 Solved Question Paper

Question : 11 of 100

Marks: +1, -0

In a triangle ABC, AD is the bisector of angle A. If AC = 4.2 cm, DC = 6 cm, BC =10 cm, find AB.

2.7 cm
2.9 cm
2.8 cm
3.4 cm

Solution:

In a triangle, the angular bisector divides the side which it intersects in the ratio of other two sides.
So, In the triangle ABC, the angular bisector AD divides the side BC in the ration of AB and AC
⇒ BD : DC = AB : AC
Given BC = 10 cm and DC = 6 cm
⇒ BD = BC - DC = 10 - 6 = 4 cm
Then AB

= {BD}/{DC}×AC=4/6× 4.2=2.8\cm

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