In the given figure, AP bisects ∠BAC

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In the given figure, AP bisects ∠BAC. If AB = 4 cm, AC = 6 cm and BP = 3 cm, then the length of CP is:

Options:

3 cm

7 cm

5 cm

4.5 cm

Correct Answer:

4.5 cm

Explanation:

We are given that :-

AP bisects ∠BAC

⇒ \(\frac{AB}{AC}\) = \(\frac{BP}{CP}\)

\(\frac{4}{6}\) = \(\frac{3}{CP}\)

CP = 4.5 cm