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Triangle in an ellipse



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#1 bonanova

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Posted 01 August 2014 - 11:05 AM

An ellipse is 1 meter wide at its narrowest point and four times that amount at its widest point.

A triangle is drawn using three points on the ellipse.  How large can it be?


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#2 TimeSpaceLightForce

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Posted 01 August 2014 - 04:06 PM

Spoiler for initial thought

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#3 bonanova

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Posted 01 August 2014 - 10:06 PM

On the right track.


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#4 TimeSpaceLightForce

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Posted 02 August 2014 - 04:22 PM   Best Answer

Spoiler for symmetric


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#5 bonanova

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Posted 02 August 2014 - 07:51 PM

What's the triangle's area?

The idea behind the puzzle question makes it an easy calculation.


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#6 TimeSpaceLightForce

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Posted 02 August 2014 - 09:32 PM

If a square of 1 unit area is inclined 1/2 its side backward , it would look half as large in front view..

Polygons, if  are made of thin vertical strips should do too.


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#7 bonanova

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Posted 03 August 2014 - 06:18 AM

How many square meters?


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#8 TimeSpaceLightForce

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Posted 03 August 2014 - 08:26 AM

With cad area measure its 1.2983 sqm


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#9 bonanova

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Posted 03 August 2014 - 09:17 AM

Very close.

 

Spoiler for Clue


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#10 TimeSpaceLightForce

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Posted 04 August 2014 - 07:58 PM

Very close.

 

Spoiler for Clue


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