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April 18th, 2013, 08:24 PM   #1
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Sum of three angles

Hi members of MMF,

My father almost had to force me this week to let me do geometry. I never liked it much, however, it's quite a fun to do them as I reckon slowly. I already had a whole reading of the geometry book by now, and after that, I asked my father that how much tight upper bounds can we get for the sum of three angles of a triangle without getting introduced to the parallels? I haven't seriously tried it yet, but a bound of 270 degrees is obvious since the sum of two angles of a triangle must be smaller than 180 degrees.

Just write down the best bound you can find but not the method,

Balarka
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April 19th, 2013, 12:09 AM   #2
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How about the 270 you've already mentioned?
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April 19th, 2013, 09:42 AM   #3
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Re: Sum of three angles

Quote:
Originally Posted by skipjack
How about the 270 you've already mentioned?
I'm trying to get a bound tighter than 270
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