Answer
$2$ square meters
Work Step by Step
Heron’s formula to find the area of triangle is given by:
$\text{Area}=\sqrt{s\left( s-a \right)\left( s-b \right)\left( s-c \right)}$
Where
$s=\frac{a+b+c}{2}$
Here,
$\begin{align}
& s=\frac{2+2+2}{2} \\
& =3
\end{align}$
So, the area of the triangle will be
$\begin{align}
& \sqrt{s\left( s-a \right)\left( s-b \right)\left( s-c \right)}=\sqrt{3\left( 3-2 \right)\left( 3-2 \right)\left( 3-2 \right)} \\
& =\sqrt{3\cdot 1\cdot 1\cdot 1} \\
& =\sqrt{3}
\end{align}$
Using a calculator we get
$\sqrt{3}\approx 2$
So, the area of the triangle is approximately $2$ square meters.
