Question

the two side of a triangular field at 85 M and 154M respectively and perimeter is 324 find the area of the field

Answer 1

Find the last side as 324 - 85 - 154 metres
= 85 m
using herons formulae,
s = 324/2 = 162 m
$area \: = \: \sqrt{s(s - a)(s - b)(s - c)}$
putting in the values we get
$area \: = \sqrt{162(162 - 85)(162 - 85)(162 - 154)} \\ = \sqrt{162(77)(77)8}$
simplify this to get area = 2772 m^2