Question

If $x=5$ and $y=x+7$, then value of $\sqrt{x^2+y^2}=$.

• A. $65$
• B. $26$
• C. $17$
• D. $13$

Answer 1

Answer: (D)

$13$

Given, $x=5$

Lets evaluate $y=x+7=5+7=12$

Now for given expression, its value at given $x=5$ and $y=12$ is

Therefore, $\sqrt{x^2+y^2}$ $=\sqrt{5^2+{12}^2}$

$=\sqrt{25+144}$

$=\sqrt{169}$

$=13$