Saturday, April 27, 2019

mathematics - Is $s$ larger than the radius of circumscribed circle?


In the figure, showing a square and an equilateral triangle, is $s$ larger or smaller than the radius of the circumscribed circle?


the circumscribed circle




Answer



The radius is S. Translate the top point down s units: the distance of this new point is s from all three vertices. Therefore the radius is s.


enter image description here


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