SSC CPO 2024 PYQ — Question 137

SSC CPO - 29 June 2024 Shift 2 • Quantitative Aptitude • Q137

The in-radius of a triangle is 8 cm, and the sum of the lengths of its sides is 125 cm. The area of the triangle (in cm2) is

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 500.

Area of triangle = r × s

where r is in-radius and s is the semi-perimeter of the triangle.

According to the given question,

s = ½ × sum of length of sides

⇒ s = 1252125 \over 2 cm

Now, area of triangle = 8 × 1252125 \over 2

⇒ 4 × 125 = 500

Hence the area of the triangle (in cm2) is 500.