Question

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

Answer 1

Answer:

39

Step-by-step explanation:

Step 1 of 2:

Given two points: (0,0) and (36,15)

To find: The distance between two points.

The distance formula is;

$d=\sqrt{(x_{2}-x_1){^{2}} +{(y_{2}-y_1){^{2}}}$

Step 2 of 2:

Now substitute given point in the distance formula.

$(x_{1}, y_{1})=(0,0)\\(x_{2}, y_{2})=(36,15)$

$d=\sqrt{(36-0)^{2}+(15-0)^{2}} \\d=\sqrt{(36)^{2}+(15)^{2}}$

Since

$36^{2} = 1296\\15^{2} = 225$

$d=\sqrt{1296+225} \\d=\sqrt{1521}$

$d=39$

The distance between the points (0,0) and (36,15) is 39.