Since the length of the three sides of the triangle are given, to determine its area, apply Heron's formula.
where a, b and c are the sides of the triangle, and s is half of its perimeter.
Hence, the area of the triangle is `24 cm^2` .
Here we must look at the length closely. We can find that they are combined in the following manner.
`6^2+8^2 = 10^2`
This means the triangle is a right triangle.
The area of the right triangle is given by;
A = 1/2(product of leg length except hypotenuse)
So the area of the triangle can be given as;
`A = 1/2xx6xx8`
`A = 24cm^2`
So the area of the triangle given is `24cm^2` .