Find the maximum area A of a triangle whose perimeter is a fixed length P . Show that your answer is correct (and so your triangle is the best possible shape) using an optimisation technique. Hint: You may want to use Heron’s formula. ( Please type answer note write by hend)

Find the maximum area A of a triangle whose perimeter is a fixed length P . Show that your answer is correct (and so your triangle is the best possible shape) using an optimisation technique. Hint: You may want to use Heron’s formula. ( Please type answer note write by hend)

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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