SSC Selection Post 2024 PYQ — Question 59

SSC Selection Post - Matriculation Level - 26 June 2024 - Shift 1 • Quantitative Aptitude • Q59

Find the area of a right angle whose base is 15 cm and hypotenuse is 17 cm.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 60 cm2.

Using the Pythagorean Theorem:

Base (a) = 15 cm

Hypotenuse (c) = 17 cm

Height (b) = ?

⇒ 152 + b2 = 172

⇒ 225 + b2 = 289

⇒ b2 = 289 - 225

⇒ b2 = 64

⇒ b = 8 cm

Now, 

Area = (1/2) × base × height

⇒ Area = (1/2) × 15 cm × 8 cm

⇒ Area = (1/2) × 120 cm2

⇒ Area = 60 cm2