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Math Forum » Discussions » Math Topics » geometry.puzzles.independent

Topic: Rectangle Area
Replies: 11   Last Post: Jan 14, 2010 1:01 PM

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Steve B

Posts: 15
Registered: 12/8/09
Re: Rectangle Area
Posted: Jan 11, 2010 3:05 PM
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> > Note the fact that triangle ADE is similar to
> > triangle GDC.
> >
> > Therefore we have:
> >
> > DG/DC = AD/DE
> >
> > It can be re-written as:
> >
> > DG*DE = AD*DC which means that S1 = S2
> >
> >

> http://www.idealmath.com/geometrytheorem/similartriang
>

> > le.htm
>
> Hi Peter,
>
> many thanks for another excellent solution to the
> problem.
> The puzzle was simple, but what makes it interesting
> is that it can be solved using many different
> approaches.
>
> Best regards,
> Avni


It is also interesting because it was, to me at least, initially counterintuitive

Steve



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