Re: Triangle Puzzle

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Article #9

From: Sylvia Else
Date: Sun, 05 May 2013 14:19

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On 5/05/2013 8:32 PM, felix_unger wrote:
>
> Anyone here smart enough to solve this?..
>
> http://ausnet.info/pics/triangle-puzzle.gif
>

The picture purports to contain two similar triangles, that is, 
triangles that have the same angles. But if they have the same angles, 
they should have sides in the same ratios. The ratio in one case is 2/5, 
and in the other is 3/8. So the triangles are not similar, and have 
slightly differing angles.

The result is that the diagonal line in the two pictures is not quite 
straight. In the top case, it is slightly bent towards the bottom left 
corner, and in the bottom case it is slight bent away from that corner. 
So the areas are not the same, as is shown by the appearance of the 
extra square.

Sylvia.

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From: Sylvia Else <sylvia@not.at.this.address>
Newsgroups: aus.computer,aus.tv,aus.politics,aus.mathematics
Subject: Re: Triangle Puzzle
Date: Mon, 06 May 2013 00:19:11 +1000
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