Here we are given the three sides of the triangle.
So we have Heron's formula to find its area.
Heron's formula is given by :
[tex] A=\sqrt{S(S-A)(S-B)(S-C)} [/tex]
where A, B and C are sides of triangle and S is semi perimeter which is given by,
[tex] S=\frac{A+B+C}{2} [/tex]
plugging values of A, B and C to find S
[tex] S=\frac{16+12+8}{2} [/tex]
S=18
Now plugging values of A, B , C and S in Heron's formula
[tex] A=\sqrt{S(S-A)(S-B)(S-C)} [/tex]
[tex] A=\sqrt{18(18-12)(18-8)(18-16)} [/tex]
A=46.48 m²
Answer: Area of triangle is 46.48 m².
