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In ΔABC, AB = 3 cm, AC = 4 cm and AD is the bisector of ∠A. Then, BD : DC is :

  • a)
    9 : 16

  • b)
    16 : 9

  • c)
    3 : 4

  • d)
    4 : 3

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In ΔABC, AB = 3 cm, AC = 4 cm and AD is the bisector of ∠A. ...
The angle bisector theoremstates that an angle bisector divides the opposite side of a triangle into two segments that are proportional to the triangle's other two sides. In other words,
AB/BD = AC/CD.
Now
AB/AC=BD/DC
Which is the required ratio .
Thats how BD/DC=3/4
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In ΔABC, AB = 3 cm, AC = 4 cm and AD is the bisector of ∠A. ...
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In ΔABC, AB = 3 cm, AC = 4 cm and AD is the bisector of ∠A. ...
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