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) About Me  (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.