Question

A triangular section of land has side length of 6km, 4km and 3km. What is the area of the region of land?

Answer 1

We have

First we will calculate the semi perimeter

$s=\frac{a+b+c}{2}$

where a,b, and c is the length of the sides of a triangle

a=6km

b=4km

c=3km

we substitute the values

$s=\frac{6+4+3}{2}=6.5$

Then we will use the next formula to find the area

$A=\sqrt[]{s(s-a)(s-b)(s-c)}$

then we substitute the values

$\begin{gathered} A=\sqrt[]{6.5(6.5-6)(6.5-4)(6.5-3)} \\ A=\sqrt[]{6.5(0.5)(2.5)(3.5)} \\ A=\sqrt{28.4375} \\ A=5.33\operatorname{km}^2 \end{gathered}$