What is the distance of (5, 12) from the origin? - Vidyadip

MCQ

What is the distance of $(5, 12)$ from the origin?

A
$5$ units
B
$8$ units
C
$12$ units
✓
$13$ units

✓

Answer

Correct option: D.

$13$ units

Let the points be $A (0, 0)$ and $B (5, 12).$
$A (0, 0) = (x_1, y_1)$
$B (5, 12) = (x_2, y_2)$
The distance between two points, $\text{AB} = [(\text{x}_{2}-\text{x}_{1})^2+(\text{y}_{2}-\text{y}_{1})^2]$
$\text{AB} = [(5-0)^{2}+(12-0)^2]$
$\text{AB}=\sqrt{(25+144)}$
$\text{AB}=\sqrt{(169)}$
$\text{AB}=13$
The distance of $(5, 12)$ from the origin is $13$ units.

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