The area of a triangle with sides of length a, b, and c is √ s(s−a) (s−b) (s−c) , where s is half the perimeter of the triangle. We have 60 feet of fence and want to fence a triangular-shaped area.
a) Find the length of the third side of the triangle.
b) Calculate the area of the triangle.
c) Determine the height of the triangle