Question

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

Answer 1

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

Area of triangle = $\frac{1}{2}$ Area of the parallelogram
$\Rightarrow \frac{\mathrm{Area}\mathrm{of}\mathrm{triangle}}{\mathrm{Area}\mathrm{of}\mathrm{parallelogram}}=\frac{1}{2}$


Hence, if a triangle and a parallelogram are on the same base and between the same parallels, then the ratio of the area of the triangle to the area of the parallelogram is 1 : 2.