Question

What is the distance of point (3, 4) from the origin?

Answer 1

Hint: Here we go through by applying the distance formula between the two points as we know that the origin belongs to (0, 0) point and in the question the second point is given we put these points in distance formula to get the answer.

Complete step-by-step answer:
Here in the question we have to find out the distance of point (3, 4) from the origin.
As we know the origin is point with (0, 0) coordinate.
And for finding the distance between two points $\left( {{x_1},{y_1}} \right)$ and $\left( {{x_2},{y_2}} \right)$ we will apply distance formula.
i.e. $\sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} $
Now put these two coordinates (3, 4) and (0, 0) in the formula to get the distance between these points.
$
   = \sqrt {{{\left( {3 - 0} \right)}^2} + {{\left( {4 - 0} \right)}^2}} \\
   = \sqrt {9 + 16} \\
   = \sqrt {25} \\
   = 5 \\
 $
Hence the distance of point (3, 4) from the origin is 5.

Note: Whenever we face such a type of question the key concept for solving the question is you have to go through the distance formula of coordinate geometry to find out the distance between the two coordinates points.