. Prove that area of a trapezium is equal to half the


the product of the sum of parallel sides and distance between the parallel sides.

 

 

Best Answer

Explanation:

We have to prove that the area of a trapezium is equal to half the product of the sum of parallel sides and distance between the parallel sides.

Let us consider a trapezium ABCD with height h and length of the parallel sides a&b

trapezium.

We have to find the area of trapezium.

Let us divide the area of trapezium into three parts, ΔAMD, ΔBNC☐ABNM

Both the triangles are right angled triangles.

Now we will find area of these parts individually,

angled triangles

area of trapezium

Final Answer:

Hence proved that, area of a trapezium is equal to half the product of the sum of parallel sides and distance between the parallel sides.

 

 

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