Question

What is the distance between (2, 5) and (-3, 5)?

Answer 1

$\sf\small\underline\green{Given:-}$

Distance between (2,5) and (-3,5)

$\sf\small\underline\green{Find:-}$

Distance between two points

$\sf\small\underline\green{Solution:-}$

Use the distance formula to determine the distance between the two points.

$ditance = \sqrt{( x_{2} - x_{1}) ^{2} + ( y_{2} - y_{1} )^{2} }$

Substitute the actual values of the points into the distance formula.

$= \sqrt{(3 - ( - 2)) ^{2} + (5 - ( - 5)) ^{2} }$

$\sf\small\underline\green{Simplify:-}$

$5 \sqrt{5}$

The result can be shown in multiple forms.

Exact Form:

$5 \sqrt{5}$

Decimal Form:

11.18033988