You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.2: Angles And Their Relationships
Problem 39E
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You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of α. Derive an expression for the enclosed area A(α) with respect to the angle (see drawing).

You have given an equal sided triangle with side length a. A straight line connects the center
of the bottom side to the border of the triangle with an angle of a. Derive an expression for
the enclosed area A(@) with respect to the angle (see drawing).
A
Transcribed Image Text:You have given an equal sided triangle with side length a. A straight line connects the center of the bottom side to the border of the triangle with an angle of a. Derive an expression for the enclosed area A(@) with respect to the angle (see drawing). A
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