(b) A wire of length 100 centimeters is cut into two pieces. One piece is bent to form a square. The other piece is bent to form an equilateral triangle. Find the dimensions of the two pieces of wire so that the sum of the areas of the square and the triangle is minimized.
(b) A wire of length 100 centimeters is cut into two pieces. One piece is bent to form a square. The other piece is bent to form an equilateral triangle. Find the dimensions of the two pieces of wire so that the sum of the areas of the square and the triangle is minimized.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 25E: Find the distance from the circumcenter to each vertex of an equilateral triangle whose sides have...
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Transcribed Image Text:(b) A wire of length 100 centimeters is cut into two pieces. One piece is bent to form
a square. The other piece is bent to form an equilateral triangle. Find the dimensions
of the two pieces of wire so that the sum of the areas of the square and the triangle
is minimized.
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