Question

Find the exact distance between (5, 3) and (-2, 8).

Answer 1

Answer:

The answer is

$\sqrt{74} \: \: \: \: units$

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

(5, 3) and (-2, 8)

The distance between them is

$d = \sqrt{( {5 + 2})^{2} + ( {3 - 8})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 5})^{2} } \\ = \sqrt{49 + 25} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$\sqrt{74} \: \: \: \: units$

Hope this helps you