SSC GD 2024 PYQ — Question 54

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

Area = (1/2) × base × height

The Pythagorean theorem states:

a² + b² = c²

base = b

hypotenuse (c) = 17 cm

height (a = 15) cm:

⇒ 15² + b² = 17²

⇒ 225 + b² = 289

⇒b² = 289 - 225 = 64

⇒ b = $\sqrt{64}$ = 8 cm

Area = $\frac{1}{2} \times 8 \times 15 = \frac{1}{2} \times 120$ = 60 cm²

Thus, the area of the triangle is 60 cm².