Area Heron’s Formula states that the area of a triangle with sides of lengths a, b, and c is given by
Where
(a) Use Heron’s Formula to find the area of the triangle with vertices (0,0), (3,4), and (6, 0).
(b) Show that among all triangles having a fixed perimeter, the triangle with the largest area is an equilateral triangle.
(c) Show that among all triangles having a fixed area, the triangle with the smallest perimeter is an equilateral triangle.
Figure for 1
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Calculus: Early Transcendental Functions (MindTap Course List)
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