Calculate the area of a triangle if it has length of legs as 6cmm, 8cm and 10cm.
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` .
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` .