Maximum area triangle Among all triangles with a perim- eter of 9 units, find the dimensions of the triangle with the maximum area. It may be easiest to use Heron's formula, which states that the area of a triangle with side length a, b, and c is A = Vs(s – a)(s – b)(s – c), where 2s is the perimeter of the triangle.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.3: Quadratic Equations
Problem 58E
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Maximum area triangle Among all triangles with a perim-
eter of 9 units, find the dimensions of the triangle with the
maximum area. It may be easiest to use Heron's formula, which
states that the area of a triangle with side length a, b, and c is
A = Vs(s – a)(s – b)(s – c), where 2s is the perimeter of the
triangle.
Transcribed Image Text:Maximum area triangle Among all triangles with a perim- eter of 9 units, find the dimensions of the triangle with the maximum area. It may be easiest to use Heron's formula, which states that the area of a triangle with side length a, b, and c is A = Vs(s – a)(s – b)(s – c), where 2s is the perimeter of the triangle.
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