In ΔABC, BD is the internal bisect

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In ΔABC, BD is the internal bisector of ∠B meeting AC at D. If CD = 7 cm and AC = 10.5 cm, then AB : BC

Options:

2 : 3

1 : 2

3 : 4

3 : 2

Correct Answer:

1 : 2

Explanation:

BD is bisector of angle B

$AB/BC = AD/CD = (AC-CD)/CD = (10.5-7)/7 = 3.5/7 = 1:2$

$AB:BC = 1:2$

The correct answer is Option (2) → 1 : 2