SSC CHSL 2020 PYQ — Question 75

SSC CHSL - 19th October 2020 - Shift 2 • Quantitative Aptitude • Q75

The area of an isosceles right angled triangle is 121 cm2. Find its hypotenuse.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e 22 cm

Understanding Application
The area of a triangle = (1 / 2) × base × height

The area of the given triangle = (1 / 2) × a × a

Where 'a' is the equal side of the isosceles triangle.

⇒ (1 / 2)a2 = 121

⇒ a = 11√2cm

The hypotenuse will be = a√2

⇒ 11√2 × √2

⇒ 22cm