The sides of the triangle are 6, 8, and 10. Find the area of this triangle.

Find the area of the triangle using Heron’s formula.
S = √ (p * (p – a) * (p – b) * (p – c), where p is the half-perimeter of the triangle, a is the length of the first side, b is the length of the second side, c is the length of the third side.
Find the semiperimeter of a given triangle by the formula: p = (a + b + c) / 2 = (6 + 8 + 10) / 2 = 24/2 = 12.
We now calculate the area of a given triangle using Heron’s formula: S = √ (p * (p – a) * (p – b) * (p – c) = √12 * (12 – 6) * (12 – 8) * ( 12 – 10) = √12 * 6 * 4 * 2 = √576 = 24.
Answer: the area of the triangle is 24.