To find the area of a triangle when you know the lengths of its sides (a, b, and c), you can use Heron's formula. Heron's formula states that the area (A) of a triangle with sides of length a, b, and c is given by:

A = √[s(s - a)(s - b)(s - c)]

where s is the semiperimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the lengths of the sides are a = 10 feet, b = 6 feet, and c = 8 feet.

First, calculate the semiperimeter (s):

s = (10 + 6 + 8) / 2 s = 12 feet

Now, use Heron's formula to find the area (A):

A = √[12(12 - 10)(12 - 6)(12 - 8)] A = √[12(2)(6)(4)] A = √[12 * 2 * 6 * 4] A = √[576] A = 24

So, the area of the triangle is 24 square feet.