SOLUTION: Is there a right triangle whose shortest side is half its hypontenuse and whose remaining side is a whole number?

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Question 259341: Is there a right triangle whose shortest side is half its hypontenuse and whose remaining side is a whole number?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since it's a right triangle, it observes the Pythagorean theorem.
A%5E2%2B%28H%2F2%29%5E2=H%5E2
A%5E2=H%5E2-%28H%5E2%2F4%29
A%5E2=%283%2F4%29H%5E2
A=%28sqrt%283%29%2F2%29%2AH
This only works if
H=Z%2Fsqrt%283%29 to cancel out the sqrt(3) in the numerator and Z is a whole number greater than or equal to 2.
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So yes,
H=2%2Fsqrt%283%29
would then give you a short side of
A=sqrt%283%29%2F2%2A%282%2Fsqrt%283%29%29=1