To represent a rational number $$\sqrt{2}$$ on number line, take sides of right triangle as:
Correct option is A. $$1$$ and $$1$$
Notice that $$\sqrt{2}= \sqrt{(1^2 + 1^2)}$$. So, we can form a length of $$\sqrt{2}$$ units using two mutually perpendicular sides of length $$1$$ unit each. (Since, $$1,1,\sqrt{2}$$ form sides of a right angled triangle by Pythagoras theorem).