Question

Statement 1: In the figure shown, areas of both parallelogram and the triangle are equal.

Statement 2: Both the triangle and parallelogram have same base and height.

Pick the correct option

• A. Both the statements are true and Statement 2 is explanation of Statement 1
• B. Both the statements are true and Statement 2 is not the explanation of Statement 1
• C. Statement 1 is true and Statement 2 is false
• D. Statement 1 is false and Statement 2 is true

Answer 1

The correct option is D

Statement 1 is false and Statement 2 is true

Area of a triangle with the same base and height as a parallelogram is half the area of the parallelogram. This is because formula for area of triangle is (1/2) $\times$ base $\times$ height and that of parallelogram is base $\times$ height. So, statement 1 is false

But statement 2 is true. This is because they both have same base and lie between the same parallel lines.