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

Answer 1

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