A field in form of a parallelogram two sides 6 m and 40 m and its diagonal is 8 m long find the area of parallelogram
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Area of parallelogram =2 times area of triangle with sides 60,40,80
Let a =60, b=40, c =80
s=60+40+80=180
s= 2/180=90
s=90°
s-a =90°—60=30
s-b =90°—40=50
s-c =90°—80=10
area of triangle =s(s-a) (s-b) (s-c)
90×30×50×10
100(3×3×3×5)
300√15
so area of parallelogram
600√15
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