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Standard IX

Mathematics

Triangles on the Same Base (Or Equal Bases) and Equal Areas Will Lie between the Same Parallels

A triangle AB...

Question

A triangle ABC and a parallelogram ABDF lie on the same base AB and between the same parallels AB and DF. If the area of the triangle is $24 c m^{2}$ , what will be the area of the parallelogram ?

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Solution

We know that if a triangle and a parallelogram lie on the same base and between the same parallels, then the area of the triangle is half the area of the parallelogram.
$So, Area of the parallelogram = 2 \times 24 c m^{2}$
$= 48 c m^{2}$

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A triangle ABC and a parallelogram ABDF lie on the same base AB and between the same parallels AB and DF. If the area of the triangle is 24 cm2, what will be the area of the parallelogram ?

We know that if a triangle and a parallelogram lie on the same base and between the same parallels, then the area of the triangle is half the area of the parallelogram. So, Area of the parallelogram=2×24 cm2 =48 cm2

A triangle ABC and a parallelogram ABDF lie on the same base AB and between the same parallels AB and DF. If the area of the triangle is $24 c m^{2}$ , what will be the area of the parallelogram ?

We know that if a triangle and a parallelogram lie on the same base and between the same parallels, then the area of the triangle is half the area of the parallelogram.
$So, Area of the parallelogram = 2 \times 24 c m^{2}$
$= 48 c m^{2}$