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Mathematics

If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of area of the triangle to the area of parallelogram is

  1. 1 : 3

  2. 1 : 2

  3. 3 : 1

  4. 1 : 4

Theorems on Area

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Answer

We know that,

Area of a triangle is half that of a parallelogram on the same base and between the same parallel lines.

Let area of parallelogram be x so area of triangle = x2\dfrac{x}{2}.

Ratio of area of the triangle to the area of the parallelogram = x2x=12=1:2.\dfrac{\dfrac{x}{2}}{x} = \dfrac{1}{2} = 1 : 2.

Hence, Option 2 is the correct option.

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