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A triangle and a parallelogram are constructed on the same base such that their areas are equal. If the altitude of the parallelogram is 100 m , then the altitude of the triangle is

Correct Answer: 200m

Explanation:

Let the triangle and parallelogram have common base b, 


let the Altitude of triangle is h1 and of parallelogram is h2(which is equal to 100 m), then  


Area of triangle    =  1 2 × b × h 1  


Area of rectangle  = b*h2 


As per Given,


1 2 * b * h 1 = b * h 2


1 2 * b * h 1 = b * 100


 h1=200


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