Question

If ABCD is a parallelogram, then which of the following is true?
(a) ar (AABD) = ar (ABCD)
(b) ar (AABD) = ar (AABC)
(c) ar (AACD) = ar (AABC)
(d) all are true


pls explain clearly ​

Answer 1

Answer:

Step-by-step explanation:

We know that,

Diagonal of parallelogram divides it into two quadrilaterals.

Since,

AC is the diagonal

Then, Area (ΔABC) = Area (ΔACD)

=

Area of parallelogram ABCD (i)

Since,

BD is the diagonal

Then, Area (ΔABD) = Area (ΔBCD)

=

Area of parallelogram ABCD (ii)

Compare (i) and (ii), we get

Therefore,

Area (ΔABC) = Area (ΔACD) = Area (ΔABD) = Area (ΔBCD) =

Area of parallelogram ABCD

Step-by-step explanation:

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