Question

The length of two adjacent sides and one diagonal of a parallelogram are 26 cm, 28 cm and 38 cm on respectively. Find its area and side.

Answer 1

See the image provided to get an understanding first.

So, we need to find area of triangle ABC and multiply it 2 times.

So, now

S = (28 + 26 + 38) / 2 = 46 cm.

Now, area of triangle ABC

$\sqrt{(46)(46 - 26)(46 - 28)(46 - 38)}$

$\sqrt{132480}$

363.97 $cm^{2}$

Hence the area of parallelogram will be, 2(363.97) $cm^{2}$

727.94 $cm^{2}$

Hence, the area is 727.94 $cm^{2}$

The sides equal to 26 and 28 cm since its a parallelogram.