Question

If a triangle and a parallelogram are on the same base and between the same parallels, then area of triangle is area of parallelogram.

• A. half
• B. twice
• C. one - third

Answer 1

The correct option is A half

Let $△$ABP and parallelogram ABCD be on the same base AB and between the same parallels AB and PC. Let h be the height of the triangle and the parallelogram.
Area ($△PAB)=\frac{1}{2}\times AB\times h$
Area of parallelogram ABCD = $AB\times h$ Area ($△$PAB) = $\frac{1}{2}$ area of parallelogram ABCD)