Question

Find the distance between the points $(0,0)$and $(36,15)$

Answer 1

Solve for the distance between two points

Given points are $(0,0)$and $(36,15)$

Let $d$ be the distance between two points and distance formula to find the distance between two points $\left(x_{1,}{y}_1\right)$ and $\left(x_2,y_2\right)$ is

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

Say $x_1=0,x_2=36,y_1=0,y_2=15$

Substitute the values in formula

$$\begin{gathered} d=\sqrt{(36-0{)}^2+(15-0{)}^2} \\ =\sqrt{(36{)}^2+(15{)}^2} \\ =\sqrt{1296+225} \\ =\sqrt{1521} \\ =39 \end{gathered}$$

Hence the required distance is $39$