Question

In triangle ABC , AD is the bisector of angle A.
AB = 12 cm , AC = 10 cm

What is BD:DC ?

Answer 1

Answer:

In any triangle, the bisector of an angle divides the opposite side in the ratio of the sides of the angle,

here ratio of sides of triangles are 12:10=6:5

here opposite side is divided in this ratio,

given that DB=6cm, so DC= 5cm(from 6:5)

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Step-by-step explanation:

Answer 2

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GIVEN : AD bisects ∠ A and

AB = 12 cm, AC = 20 cm, and BD = 5 cm.

Since AD is the bisector of ∠ A

then, AB/AC = BD/DC

[The internal bisector of an angle of a triangle divides the opposite side internally in the ratio of the sides containing the angle]

12/20 = 5/DC

12 x DC = 20 x 5

DC = 100/12

DC = 8.33 cm

Hence,CD = 8.33 cm.

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