Question 578924
Yes. Suppose the lengths of the triangle are x, x, and x*sqrt(2). Then the perimeter is


*[tex \LARGE Perimeter = x+x+ x \sqrt{2} = x(2 + \sqrt{2})]


We never said that x had to be a whole number. If we let *[tex \LARGE x = \frac{1}{2 + \sqrt{2}}], for example, then


*[tex \LARGE Perimeter = \frac{1}{2 + \sqrt{2}}(2 + \sqrt{2}) = 1], which is a whole number.