5. What is the area of a triangle whose sides measure 13 inches, 15 inches, and 24 inches?

Enter your answer, in simplified radical form

Answer: Area = √7436 inches

Step-by-step explanation:

To determine the area of the triangle, we would apply the heron's rule which is expressed as

Area = √S (S - a) (S - b) (S - c)

Where a, b and c are the length of each side of the triangle.

S = (a + b + c) / 2

The length of the sides are 13 inches, 15 inches, and 24 inches

S = (13 + 15 + 24) / 2 = 26

Area = √26 (26 - 13) (26 - 15) (26 - 24)

Area = √26 (13) (11) (2)

Area = √7436 inches