How do you use Heron's formula to determine the area of a triangle with sides of that are 25, 18, and 22 units in length?

1 Answer

192.642\ \text{unit}^2

Explanation:

Semi perimeter s of triangle with the sides say a=25, b=18, c=22 is given as

s={a+b+c}/2

=\frac{25+18+22}{2}

=32.5

Now, using Hero's formula, the area \Delta of triangle is given as

\Delta=\sqrt{s(s-a)(s-b)(s-c)}

=\sqrt{32.5(32.5-25)(32.5-18)(32.5-22)}

=192.642\ \text{unit}^2