Question

A field in the form of parallelogram has sides 60m and 40m and one of its diagonal is 80m long. find the area of parallelogram.

Answer 1

Here is your answer

Answer 2

Area of parallelogram =2times area of triangle with sides 60,40,80
Let a=60 b=40 c=80
s=(a+b+c)/2
=90
s-a=30
s-b=50
s-c=10
Area of triangle
$\sqrt{s(s - a)(s - b)(s - c)}$
$\sqrt{90 \times 30 \times 50 \times 10}$

$100 \sqrt{3 \times 3 \times 3 \times 5}$
$300 \sqrt{15}$
So area of //gm
$600 \sqrt{15}$