SSC CGL 2020 PYQ — Question 63

SSC CGL - 3rd March 2020 Shift 3 • Quantitative Aptitude • Q63

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

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