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In a δAbc, Ad is the Bisector of ∠A, Meeting Side Bc at D. If Ab = 3.5 Cm, Ac = 4.2 Cm and Dc = 2.8 Cm, Find Bd. - Mathematics

In a ΔABC, AD is the bisector of ∠A, meeting side BC at D.

If AB = 3.5 cm, AC = 4.2 cm and DC = 2.8 cm, find BD.

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Solution

In ΔABC, AD is the bisector of ∠A.

We know that, the internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle.

`therefore"BD"/"DC"="AB"/"AC"`

`rArr"BD"/2.8=3.5/4.2`

`=(3.5xx2)/3`

`=7/3=2.33 ` cm

∴ 𝐵𝐷 = 2.3 cm

Concept: Angle Bisector
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Exercise 7.3 | Q 1.3 | Page 31
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