Question

Find the distance between (5,14) and (-3,-9)

Answer 1

The answer is

`√(593) \: \: or \: \: 24.35 \: \: \: 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

(5,14) and (-3,-9)

The distance is

`d = \sqrt{ ({5 + 3})^(2) + ({14 + 9})^(2) } \\ = \sqrt{ {8}^(2) + {23}^(2) } \\ = √(64 + 529) \\ = √(593) \: \: \: \: \: \: \: \: \: \: \\ = 24.3515913`

We have the final answer as

`√(593) \: \: or \: \: 24.35 \: \: \: units`

Hope this helps you