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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