Question

Find the distance between the two points in simplest radical form. (7,2) and (-1, -3)

Answer 1

Answer:

The answer is

$\sqrt{89} \: \: \: \: units$

Step-by-step explanation:

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

$d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} }$

where

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

From the question the points are

(7,2) and (-1, -3)

The distance between them is

$d = \sqrt{( {7 + 1})^{2} + ({2 + 3})^{2} } \\ = \sqrt{ {8}^{2} + {5}^{2} } \\ = \sqrt{64 + 25} \\ = \sqrt{89} \: \: \: \: \: \: \: \: \: \:$

We have the final answer as

$\sqrt{89} \: \: \: \: units$

Hope this helps you