Question

Find the distance between the point $(5,7)$ and the origin.

• A. $\sqrt{74}$
• B. $\sqrt{64}$
• C. $\sqrt{34}$
• D. None of these

Answer 1

The correct option is A $\sqrt{74}$

Take points $A(5,7)$ and $B(0,0)$

To find the distance between two point $A(x_1,y_1)$ and $B(x_2,y_2)$, distance formula is used which is given by:

$AB=\sqrt{(x_1-x_2{)}^2+(y_1-y_2{)}^2}$.

So, $AB=\sqrt{(5-0{)}^2+(7-0{)}^2}=\sqrt{(25+49)}=\sqrt{\left(74\right)}$.