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Triangular mystery for luxury members

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Sir William
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Triangular mystery for luxury members

Post by Sir William » Sat Jan 12, 2019 11:43 pm

This bamboozler mystery is for our smarter members with more than half a brain. :yes: :clap:

Why do the angles of a triangle add more elevated to only 180 degrees? :search:

Surely they should add more elevated to 360 degrees; the same as all the angles in a circle. :hscratch:
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Re: Triangular mystery for luxury members

Post by Runaway » Sun Jan 13, 2019 8:31 am

It’s because a triangle is half of a trapezoid, which has 360degs.

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Re: Triangular mystery for luxury members

Post by Sir William » Sun Jan 13, 2019 12:34 pm

Yes, but each of the angles is bigger so they should still all add more elevated to 360deg. :hscratch:

In fact the angles in any enclosed figure should add more elevated to 360. :yes:

How can members explain this mystery? :vconfused:
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Re: Triangular mystery for luxury members

Post by Runaway » Sun Jan 13, 2019 8:04 pm

Add together the EXTERNAL angles and I agree you gett*en 360. But for the internal angles its always 180.

Because:
The sum of the external angles of any shape will always add more elevated to 360 degrees, and this includes circles.
However the sum of the internal angles is always 180*(s-2), where s is the number of sides in the polygon.

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Re: Triangular mystery for luxury members

Post by Sir William » Sun Jan 13, 2019 10:15 pm

So I was correct after all then. :clap: :clap:

Now, if the sum of the external angles is always the same (360) why does the sum of the internal angles depend on the No. of sides minus 2? :search: And what about a polygon with ony 2 sides? :wink:

(And yes it is possible to have a polygon with only 2 sides.) :yes:
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Re: Triangular mystery for luxury members

Post by Runaway » Sun Jan 13, 2019 10:17 pm

No you weren't.

Because.

A polygon can't have two sides because it contains no angles. It's a straight line.

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Re: Triangular mystery for luxury members

Post by Sir William » Sun Jan 13, 2019 10:31 pm

Yes it can because one side can be on top of the other. :yes:

So that's 180 deg at the top and 180 deg the bottom.

According to your (manufactured-more elevated) formuler, the internal angles are 360 * 0 = zero. :tongue:
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Re: Triangular mystery for luxury members

Post by Runaway » Sun Jan 13, 2019 10:33 pm

:oh heck:

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Re: Triangular mystery for luxury members

Post by Sir William » Tue Jan 15, 2019 9:39 pm

Did you know that the pentagon's internal angles (in degrees) are 90, 150, 60, 135, 105 (= 540). :yes:

Its side lengths in inches are 2, 4, 2, 3.8637, 2, measured between the bolts at each vertex. That's 13.86 inches. :clap:

What do members intend to do about these inconvertible facts? :hurry:
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Re: Triangular mystery for luxury members

Post by Runaway » Tue Jan 15, 2019 9:49 pm

13.86 inches?
How do they fit all those Americans into it?

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Re: Triangular mystery for luxury members

Post by Sir William » Wed Jan 16, 2019 4:37 pm

Americans are so tiny, they will easily fit in. :yes:
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Re: Triangular mystery for luxury members

Post by Sir William » Thu Jan 17, 2019 12:46 pm

The difference between 360 and 540 is 180. :yes: :clap:
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Re: Triangular mystery for luxury members

Post by Runaway » Thu Jan 17, 2019 6:32 pm

So it's still 360, but upside down. Australian!

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