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If a is an odd integer, b will not be an integer.
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Height of triangle c, is also the y-coordinate of the upper vertex. It's irrational.

how did u get a/2?

can u possibly explain this?i got confused..
http://gyazo.com/077e2faa197346bf8450280343875ee2

okay

yes

yes..

So at least one coordinate may be not an integer. That rules out the first choice.

is it C?

That is b, the x-coordinate of the third vertex. b = a/2, and if a is odd, a/2 is not an integer.

answer=b?

No, not yet. I was referring to small letter b in my drawing. The answer is C, you're right.

yes,thanks!