10. A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part? units The length of the piece bent into the shape of an equilateral triangle is (Type an exact answer, using n as needed.) The length of the piece bent into the shape ofa circle is units. (Type an exact answer, using t as needed.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
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10. A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part?
units
The length of the piece bent into the shape of an equilateral triangle is
(Type an exact answer, using n as needed.)
The length of the piece bent into the shape ofa circle is
units.
(Type an exact answer, using t as needed.)
Transcribed Image Text:10. A wire b units long is cut into two pieces. One piece is bent into an equilateral triangle and the other is bent into a circle. If the sum of the areas enclosed by each part is a minimum, what is the length of each part? units The length of the piece bent into the shape of an equilateral triangle is (Type an exact answer, using n as needed.) The length of the piece bent into the shape ofa circle is units. (Type an exact answer, using t as needed.)
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