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# Smallest Integer Triangle Possible

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Posted 10 March 2014 - 04:14 PM

Given a triangle whose three sides are integer values, and the area of which is divisible by 20, find the smallest possible side for which these  conditions hold true:

•   two sides are odd numbers
•   at least one side is a prime number.

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### #2 phil1882

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Posted 10 March 2014 - 09:49 PM

Spoiler for

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Posted 10 March 2014 - 11:07 PM

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### #4 bonanova

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Posted 11 March 2014 - 10:24 AM

Given a triangle whose three sides are integer values, and the area of which is divisible by 20, find the smallest possible side for which these  conditions hold true:

•   two sides are odd numbers
•   at least one side is a prime number.

Trying to help with the difficulties of language ...

Should we find a triangle, that meets the conditions, that has a side that is smaller then the smallest side of any other triangle that meets the conditions?

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Vidi vici veni.

### #5 phil1882

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Posted 11 March 2014 - 12:57 PM

ah i see where i made my mistake.

i assumed height is always (1/2 base)^2 - other side^2

which isn't necessarily so.

(only true for isosceles triangles or equilateral.)

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Posted 11 March 2014 - 02:35 PM

Given a triangle whose three sides are integer values, and the area of which is divisible by 20, find the smallest possible side for which these  conditions hold true:

•   two sides are odd numbers
•   at least one side is a prime number.

Trying to help with the difficulties of language ...

Should we find a triangle, that meets the conditions, that has a side that is smaller then the smallest side of any other triangle that meets the conditions?

yes, when you phrase it that way, i see how complex it sounds.  Ahh the joys of the English language.  Seems much more clear in my native language

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