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Geometric construction of the geometric mean

Drag points B and C to change lengths a and b.

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The geometric mean of two numbers a and b is the square root of a times b:

GM(a,b)=sqrt(a *b)

Figure out why this diagram constructs the geometric mean.

Susan Addington, Created with GeoGebra

 

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Last updated December 26, 2009

Copyright 2009 David Dennis and Susan Addington. All rights reserved.