Question

If triangle and parallelogram are on the same base and between the same parallel then the area of triangle is equal to half of the Area of parallelogram​

Answer 1

Answer:

Yes that is true.

Take a triangle and align it with a parallelogram such that the half of the parallelogram coincides the triangle.

Hence the area of the parallelogram will be 2 times the area of the triangle.

9th standard math book. --> reference

Answer 2

Step-by-step explanation:

Yes, it is true.

You can understand with the help of a diagram.

The diagram is in attachment. Hope this helps you..

We can also proof it by SAS congruence rule.

I am just giving some hints in a proof, you have to write it in full.

In Triangle ADC and Triangle ABC,

(I) AD = BC ( Opposite sides of a parallelogram are equal)

(II) DC = AB ( Opposite sides of a Parallelogram are equal and parallel)

(III) Angle ADC = Angle ABC

(Opposite angles in a Parallelogram are equal)

So both triangles are congruent by SAS congruence rule.

Therefore The area of triangle is half the area of a Parallelogram.

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