Question

To represent a rational number $\sqrt{2}$ on number line, take sides of right triangle as:

• A. $1$ and $1$
• B. $1$ and $2$
• C. $2$ and $0$
• D. $-1$ and $-1$

Answer 1

The 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).