Online Geometry Problems

Geometry Problem 1070: Circle, Chord, Equilateral Triangle, Square, Rectangle, Area, Diameter, Perpendicular. Level: High School, SAT Prep, College, Mathematics Education

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The figure shows a circle O, chords AB and CD meet at E so that triangles AED and BEC are equilateral. The diameter AB of circle O1 is perpendicular to EE1. AA1A2E, BB1B2E, and EE1E2E3 are squares. If ODD1D2 is a rectangle so that DD1 = 3OD, prove that the yellow shaded area is equal to the blue shaded area. 

Infographic Circle, Chord, Equilateral Triangle, Square, Rectangle, Area, Diameter, Perpendicular
 

 



 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1061-1070 | Circle | Areas | Square | Rectangle | Equilateral Triangle | Diameter and Chord | Perpendicular lines | Email | by Antonio Gutierrez
Last updated: Dec 25, 2014

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