Question

Parallelogram ABCD and triangle ABD are standing on the same base and between the same parallels. If area of the triangle is 24cm2 and the length of the common base is 8cm, find the altitude of the parallelogram.​

Answer 1

Answer:

Parallelogram ABCD and triangle ABD are standing on the same base and between the same parallels. If area of the triangle is 24cm2 and the length of the common base is 8cm, find the altitude of the parallelogram

Step-by-step explanation:

Parallelogram ABCD and triangle ABD are standing on the same base and between the same parallels. If area of the triangle is 24cm2 and the length of the common base is 8cm, find the altitude of the parallelogram

Answer 2

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

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Correct option is D)

Triangle and parallelogram on same base and between same parallels.

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

In the adjoining figure, parallelogram ABCD and △ABD are on the same base AB and between the same parallels AF and DC.

∴ area of △ABD=

2

1

area of parallelogram ABCD

=

2

1

(AB×AE)

[∵,DE is the altitude of parallelogram ABCD]

Here,AB is the base and AE is the height of △ABD.

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