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Math: Geometry Problem 1022: Circular Sector of 90 Degrees, Squares, Metric Relations. Level: School, College.

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In the figure below, AOB is a circular sector of 90 degrees. C is a point on arc AB, ACDE and CBFG are squares. Prove that OD2 + OG2 = 3.AB2.
 
 

Geometry Problem 1022: Circular Sector of 90 Degrees, Squares, Metric Relations

 

See also:
GeoGebra of problem 1022
 

 

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Last updated: Sep 19, 2014