Area Heron's Formula states that the area of a triangle with sides of lengths
where
(a) Use Heron's Formula to find the area of the triangle with vertices
(b) Show that among all triangles having a fixed perimeter, the triangle with the largest area is a equilateral triangle.
(c) Show that among all triangles having a fixed area, the triangle with the smallest perimeter is an equilateral triangle.
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Chapter 13 Solutions
Calculus
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