The length of tuo adjacent sides of a parallelogram are respectively 51cm and 37cm one of its diognal. is 20cm find the area of parallelogram
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Step-by-step explanation:
Consider AB=51cm, BC=37cm and AC=20cm.
In ΔABC,
s=
2
a+b+c
=
2
51+37+20
=54
The area of ΔABC is,
A=
s(s−a)(s−b)(s−c)
=
54(54−51)(54−37)(54−20)
=
54(3)(17)(34)
=
93636
=306cm^2
The area of parallelogram is the twice of ΔABC,
A=2×306
A=612cm^2
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