Question

Ratio of base and perpendicular of a right angled triangle is 4 : 11. It's perpendicular is equal to the side of a square having area 121 cm². Find the area of right angled triangle.
1. 11 cm²
2. 4 cm²
3. 12 cm²
4. 22 cm²

Answer 1

Correct Answer - Option 4 : 22 cm²

Given

Perpendicular of right angled triangle = Side of a square with area 121 cm²

Formula used

Area of square = (side)²

121 = (side)²

√121 = side

11 cm = side

So, perpendicular is 11 cm

Let the base and perpendicular are 4x and 11x

11x = 11

⇒ x = 1

Base = 4 × 1

⇒ 4

Perpendicular = 11 × 1

⇒ 11

Area of triangle = (1/2) × 4 × 11

⇒ 22 cm²

∴ Area of rectangle is 22 cm²