Question

two sides of the triangular field are 85 m and 154 m in length and its perimeter is 324 m.find the area of field

Answer 1

Given,
a=85m
b=154m
Perimeter=324m

So,
Perimeter=a+b+c
324=85+154+c
324=239+c
c=324-239
c=85

Now,
By herons formula:-
s=a+b+c/2
85+154+85/2
324/2
162

So,
Area of the triangle=√s(s-a)(s-b)(s-c)
√162(162-85)(162-154)(162-85)
√162*77*8*77
√7683984
2772m²