Step-by-step explanation:
Area of triangle is with side a,b and c is given by
[tex]A=\sqrt{s\times (s-a)\times (s-b)\times (s-c)}[/tex]
where [tex]s=\frac{a+b+c}{2}[/tex]
Here
a = 3.8 m
b = 5.1 m
c = 5.1 m
[tex]s=\frac{a+b+c}{2}\\\\s=\frac{3.8+5.1+5.1}{2}\\\\s=7[/tex]
Substituting in area equation
[tex]A=\sqrt{s\times (s-a)\times (s-b)\times (s-c)}\\\\A=\sqrt{7\times (7-3.8)\times (7-5.1)\times (7-5.1)}\\\\A=\sqrt{7\times 3.2\times 1.9\times 1.9}\\\\A=\sqrt{80.864}\\\\A=8.99m^2[/tex]
Area of triangle is 8.99 m²
