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# Smallest Integer Triangle Possible

## Question

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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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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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 25 29 is the best i could find.

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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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