A triangular plot ABC is such that AB = 36m, BC = 40m and AC = 42 m

a) Calculate the:
i) Area of the plot in square meters

√(s(s-a)(s-b)(s-c))

How to find S?

s = (a+b+c)/2

If you found Heron's formula, why did you not read its explanation?

To find the value of S, you first need to calculate the semi-perimeter of the triangle. The semi-perimeter (S) can be found using the formula:

S = (a + b + c) / 2

where a, b, and c are the lengths of the sides of the triangle.

In this case, the lengths of the sides are:
AB = 36m
BC = 40m
AC = 42m

Substituting these values into the formula, we get:

S = (36 + 40 + 42) / 2

Adding the numbers together, we have:

S = 118 / 2

Simplifying, we find:

S = 59

So, the value of S for this triangle is 59.