Math question on inequalities!!?

Posted on 2016-03-04 18:52:00 in Math by STRUS

I have this question on inequalities, I m given a right hand triangle I m told that the adjacent is 3m and the opposite( the side opposite the hypotenuse) is xm long I m not given any angle only the right angle. 

The question is: Find the range of values of x, x = Z where the perimeter of This triangle will be between 8 and 12 m long. I know how to tackle these questions in terms of inequalities I m just having trouble with the perimeter I tried the Pythagoras theorem but I didn t get the same range of values!!!! Please help

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