Question

if a triangle and a parallelogram are on the same base and between the same parallel lines then area of triangle is half area of parallelogram prove this theorem​

Answer 1

Answer:

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.