Question

Find the distance between the points Q(5,6) and P(-3,2)

Answer 1

The answer is

`4 √(5) \: \: or \: \: 8.94 \: \: \: units`

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

Q(5,6) and P(-3,2)

The distance is

`|QP| = \sqrt{( {5 + 3})^(2) + ({6 - 2})^(2) } \\ = \sqrt{ {8}^(2) + {4}^(2) } \\ = √(64 + 16) \\ = √(80) \: \: \: \: \: \: \: \: \: \:`

We have the final answer as

`4 √(5) \: \: or \: \: 8.94 \: \: \: units`

Hope this helps you