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Question
The sides of a triangular field are 325 m, 300 m and 125 m. Its area is
Options
18750 m2
37500 m2
97500 m2
48750 m2
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Solution
The area of a triangle having sides a, b, c and s as semi-perimeter is given by,
`A = sqrt(s(s-a)(s-b)(s-c))`, where
`s = (a+b+c)/2`
Therefore the area of a triangular field, say A having sides 325 m, 300 m and 125 m is given by
a = 325 m ; b = 300 m ; c = 125 m
`s = (a+b+c)/2`
`s = (325+300+125)/2`
`s =750/2`
s = 375 m
`A = sqrt(375(375-325)(375-300)(375-125))`
`A = sqrt(375(50)(75)(250)`
`A = sqrt(351562500)`
A = 18750 m2
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