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In a ΔABC it is given that AB = 6 cm, AC = 8 cm and AD is the bisector of ∠A. Then, BD : DC = ?

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Question

In a ΔABC it is given that AB = 6 cm, AC = 8 cm and AD is the bisector of ∠A. Then, BD : DC = ?

Options

  • 3 : 4

  • 9 : 16

  • 4 : 3

  • `sqrt(3) : 2`

MCQ
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Solution

3 : 4

Explanation:

By the Angle Bisector Theorem, the internal bisector AD divides the opposite side in the ratio of the adjacent sides.

So, BD : DC = AB : AC

= 6 : 8

= 3 : 4

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Chapter 7: Triangles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 452]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 7 Triangles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 11. | Page 452
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