a parallelogram has two sides 50 cm and 78 cm and a diagonal 112 cm long.find the area of parallelogram ?
a)2453
b)3360
c)3346
d)4400
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After drawing the diagram,
Use HERON'S formula which give the area of an scalene triangle
According to HERON'S formula
s=(a+b+c)/2
area of triangle=√s(s-a)(s-b)(s-c)
So,
50+78+112)/2=120
√120(120-50)(120-78)(120-112)
√120*70*8*42
√2822400
1680
area of llgm=2*area of scalene triangle=2*1680=3360
therefore area of llgm is b)3360cm²
Use HERON'S formula which give the area of an scalene triangle
According to HERON'S formula
s=(a+b+c)/2
area of triangle=√s(s-a)(s-b)(s-c)
So,
50+78+112)/2=120
√120(120-50)(120-78)(120-112)
√120*70*8*42
√2822400
1680
area of llgm=2*area of scalene triangle=2*1680=3360
therefore area of llgm is b)3360cm²
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