Question

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  :


Options:
A .  `10sqrt(2)` m
B .  100 m
C .  `100sqrt(2)` m
D .  200 m
Answer: Option D

Let the altitude of the triangle be `h_1` and base of each be  b.

Then, `1/2 xx b xx h_1 =  b xx h_2`,      where  `h_2` = 100 m

`hArr      h_1 = 2h_2` = (2 x 100) m = 200 m



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