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

Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 4.5 cm.
| Understanding/Application |
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Given: AB = 4 cm, AC = 6 cm and BP = 3 cm In △ABC, AP is the bisector of ∠A.
So, CP/BP = AC/AB ⇒ CP/3 = 6/4 ⇒ CP = (6 × 3)/4 ⇒ CP = 18/4 ⇒ CP = 4.5 cm |