Question

if a triangle and a pararllogram are on the same base betwen same parallels.find ratio of area of triangle to area of pararllogram

Answer 1

Answer:

1 : 2

This is because area of triangle will be half the area of parallelogram.

Answer 2

we know that area of triangle is equal if they are on same base and between same parallel. Also the diagonal of parallelogram bisect it into two equal parts.
$area \: of \: triangle(pqr) = \frac{1}{2} area \: of \: parallelogram$
also
$area \: of \: triangle(abc) = area \: of \: triangle(pqr)$
so
$area \: of \: triangle \: {abc} = \frac{1}{2} area \: of \: parallelogram$