Question

The sides Triangular Field Are 120m,150m,200 m . Find the cost of Ploughing it at 25 paise per sq,m?

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Answer 1

a=120
b=150
c=200
then area
s=120+150+200/2
s= 235
area = root{s(s-a)(s-b)(s-c)}
area = root(235 x 115 x 85 x 35)
area = root80399375
area= 8966.57
cost = 25/100 x 8966.57
cost = 2241.6425

Answer 2

The cost of ploughing a field at 25 paise per sq meter is ₹2241.64

Sides of triangle are

a=120m b=150m c=200m

So area of triangle is given by hero's formula that is

area={s(s-a)(s-b)(s-c)}^1/2

where s =a+b+c/2

s=120+150+300/2 s=235

Now (s-a).=235-120=115

(s-b)=235-150=85;(s-c)=235-200=35

Substituting values s=(235×115×85×35)^1/2

s=(80399375)^1/2

s=8966.56

Cost of ploughing is 25 paise per sq m

So total cost of ploughing=25/100×8966.56

Cost=₹2241.64

So cost of ploughing total field t 25 paise is ₹2241.64