SSC CHSL 2024 PYQ — Question 73

The correct answer is option 4 i.e. 8m.

Given that, the triangle is an isosceles right angled triangle,

⇒ Perpendicular = Base

Area of triangle = 16 m²

Area of a right angled triangle = ½ × perpendicular × base

H² = P² + B²

According to the given question,

 ½ × perpendicular² = 16

⇒ perpendicular² = 32

⇒ perpendicular = $4\sqrt{2}$ = base

Now, H² = 32 + 32

⇒ H² = 64

⇒ H = 8 m