Let
using a graph tool
see the attached figure
The figure is a triangle
we know that
<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.
Hero's Formula is equal to
where
p is is half the perimeter of the triangle
a,b,c are the lengths of the sides of a triangle
so
Step
<u>Find the length sides of the triangle</u>
a) <u>Find the distance AB</u>
Substitute
b) <u>Find the distance AC</u>
Substitute
c) <u>Find the distance BC</u>
Substitute
Step
<u>Find the perimeter of the triangle</u>
<u>Find the half of the perimeter </u>
Step
<u>Find the area of the triangle</u>
therefore
<u>the answer is the option </u>
a) 1.65 mi^2.
