Geometry Problem

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## Friday, January 21, 2011

### Problem 571: Circle, Diameter, Chord, Perpendicular, Measurement

Labels:
chord,
circle,
diameter,
measurement,
perpendicular

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ACG///DBF;ACE///ABC;ADF///DFB;BDF///BAD

ReplyDeletex/DF = AC/BD

x^2 = (AC^2)(DF^2)/(BD^2)

= (AE.AB)(AF.FB)/(BF.AB)

= AE.AF =4x9

x=6

A nice solution

ReplyDeletePeter

There's a problem with the construction.

ReplyDelete(AE and EF)