Area of a square with side x is equal to the area of a triangle

Home » Aptitude » Area and Perimeter » Question

Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is ?

1. x/2
2. x
3. 2x
4. 4x

Correct Option: C

Let h be the altitude of triangle.
So area of triangle = (1/2)xh
area of square = x²

From question area of square = area of triangle
x² = (1/2)xh
∴ h = (2x²)/x = 2x