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

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# Smallest Integer Triangle Possible

### #1

Posted 10 March 2014 - 04:14 PM

### #2

Posted 10 March 2014 - 09:49 PM

### #3

Posted 10 March 2014 - 11:07 PM

### #4

Posted 11 March 2014 - 10:24 AM

Given a trianglewhose three sides are integer values, and the area of which is divisible by 20, find the smallest possiblesidefor 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?

*The greatest challenge to any thinker is stating the problem in a way that will allow a solution.*

- Bertrand Russell

### #5

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.)

### #6

Posted 11 March 2014 - 02:35 PM

Given a trianglewhose three sides are integer values, and the area of which is divisible by 20, find the smallest possiblesidefor 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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