SSC CGL 2019 PYQ — Question 69

SSC CGL - 4th June 2019 - Shift 3 • Quantitative Aptitude • Q69

The area of a triangle is 15 sq cm and the radius of its incircle is 3 cm. Its perimeter is equal to?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 10 cm

Concept

Understanding

Application

In-radius of triangle = (Area of triangle)/Semi Perimeter(s)

Given:

Area of a triangle = 15 sq cm 

And 

Radius of its incircle = 3 cm

⇒ 3 = 15/s

⇒ Semi perimeter(s) = 5

∴ Perimeter = 2S = 2 × 5 = 10 cm