Question

Find the distance between the points (2,9) and (8,2)

Answer 1

Answer:

The answer is

$\sqrt{85} \: \: \: or \: 9.21 \: \: units$

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} }$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(2,9) and (8,2)

The distance between them is

$d = \sqrt{ ({2 - 8})^{2} + ({9 - 2})^{2} } \\ = \sqrt{ ({ - 6})^{2} + {7}^{2} } \\ = \sqrt{36 + 49} \\ = \sqrt{85} \\ \: \: \: \: \: \: \: \: =9.219544$

We have the final answer as

$\sqrt{85} \: \: \: or \: 9.21 \: \: units$

Hope this helps you