The sides of a triangular field are 165 cm, 143 cm and 154 cm. Find the cost of ploughing it at 12 paise per sq. m.
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Answered by
32
s=a+b+c/2
s=165+143+154/2=231
a=231[231-165] [231-143] [231-154] {keep it inside the root}
=231[66] [88] [77] {keep it inside root}
=10164 root 2
s=165+143+154/2=231
a=231[231-165] [231-143] [231-154] {keep it inside the root}
=231[66] [88] [77] {keep it inside root}
=10164 root 2
Answered by
6
Given,
Sides of triangular field = 165 cm, 143 cm and 154 cm.
The cost of ploughing= 12 paise per sq. m
To Find,
The total cost of ploughing the field =?
Solution,
The three sides of the triangular field are 165 cm, 143 cm, and 154 cm.
By herons formula,
the semi perimeter of the triangle = s = (a + b + c)/2
Where a, b, and c are the sides of the triangular field
s = (165 + 143 + 154)/2
s = 462/2
s = 231
The area of the triangle according to heron's formula,
Area = 10164 / 10000
Area = 1.0164
Area = 1
The cost of ploughing 1 sq m = 12 paise
The cost of ploughing triangular field = 1.0164 * 12 paise
The cost of ploughing a triangular field = 12.1968 paise
Hence, the cost of ploughing a triangular field is 12.2 paise
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