SOLUTION: Can the perimeter of an isosceles right triangle be a whole number? Why or why not?

SOLUTION: Can the perimeter of an isosceles right triangle be a whole number? Why or why not?

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Question 578924: Can the perimeter of an isosceles right triangle be a whole number? Why or why not?
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Yes. Suppose the lengths of the triangle are x, x, and x*sqrt(2). Then the perimeter is

We never said that x had to be a whole number. If we let

, for example, then

, which is a whole number.
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