Re: School Geometry Question



"Herb" <fuzzykyh@xxxxxxxx> wrote in message
news:1164622271.299691.195740@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

In this drawing, (
http://myhome.hanafos.com/~freeasbird/usenet3.jpg )

square ABCD is a rectangle and angle FOA is 90 degree.

Without using Pythagoras Theorem,
How to find length of FO ??

Others have already given the solution.

The problem, for me, would have been simpler if, for example, AO had
been given as 4cm, and the point E and the line OE and the two little
marks on the line FO had all been missing.

But with the given diagram I was diverted by the symmetry of the
picture and immediately considered drawing a second rectangle which is
ABCD rotated by 90 degrees about O, and then the line OF extended hits
a corner of that rectangle... and then... and then... I wander off
into a dead end. :)

--
Clive Tooth
http://www.shutterstock.com/cat.mhtml?gallery_id=61771


.



Relevant Pages

  • School Geometry Question
    ... square ABCD is a rectangle and angle FOA is 90 degree. ... Without using Pythagoras Theorem, ...
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  • Re: School Geometry Question
    ... square ABCD is a rectangle and angle FOA is 90 degree. ... Without using Pythagoras Theorem, ... Right triangles ABC and AOF are similar by aa. ...
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  • Re: School Geometry Question
    ... square ABCD is a rectangle and angle FOA is 90 degree. ... Without using Pythagoras Theorem, ... Right triangles ABC and AOF are similar by aa. ...
    (sci.math)