The sides of the triangle are 8.15 and 17. Find the area of the triangle.

We are given a triangle with the lengths of its sides 8, 15 and 17, respectively. And we need to find the area of the triangle.

Let’s apply Heron’s formula to find the area of a triangle.

S = √p (p – a) (p – b) (p – c).

And we will find the floor perimeter as:

p = (a + b + c) / 2.

Substitute the values into the formula and calculate:

p = (8 + 15 + 17) / 2 = 40/2 = 20.

We substitute all the values in the formula and perform the calculations:

S = √20 * (20 – 8) * (20 – 15) * (20 – 17) = √ (20 * 12 * 5 * 3) = √3600 = 60 sq. units are the area of the triangle.