Comments on: An isosceles triangle inscribed in a circle. How should this be accomplished if triangle’s area is maximized?!? http://www.thearealist.com/triangle-area/an-isosceles-triangle-inscribed-in-a-circle-how-should-this-be-accomplished-if-triangles-area-is-maximized Wed, 08 Feb 2012 12:47:59 -0500 http://wordpress.org/?v=2.8.4 hourly 1 By: goober http://www.thearealist.com/triangle-area/an-isosceles-triangle-inscribed-in-a-circle-how-should-this-be-accomplished-if-triangles-area-is-maximized/comment-page-1#comment-1846 goober Mon, 15 Feb 2010 02:57:59 +0000 http://www.thearealist.com/triangle-area/an-isosceles-triangle-inscribed-in-a-circle-how-should-this-be-accomplished-if-triangles-area-is-maximized#comment-1846 Draw a triangle in a circle with a height greater than the radius. The height is r+x. The 1/2 of the base is sqrt(r^2 - x^2). The area is A = (1/2) b h = (r+x)*sqrt(r^2 - x^2) The max area occurs when dA/dx =0 Compute the derivative and solve for the value of x as a fraction of r or simply let r=1.<br><b>References : </b><br> Draw a triangle in a circle with a height greater than the radius. The height is r+x.
The 1/2 of the base is sqrt(r^2 – x^2).
The area is A = (1/2) b h = (r+x)*sqrt(r^2 – x^2)

The max area occurs when dA/dx =0

Compute the derivative and solve for the value of x as a fraction of r or simply let r=1.
References :

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