1 Answer

Jubei · Answer 1 · 2021-11-19T21:36:29+0000

Answer:

The answer is

$√(29) \: \: \: or \: \: \:5.38 \: \: \: units$

Explanation:

The length of the segment connecting 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

A(1,3) and B(6,5)

The length is

$|AB| = \sqrt{ ({1 - 6})^(2) + ({3 - 5})^(2) } \\ = \sqrt{ ({ - 5})^(2) + ( { - 2})^(2) } \\ = √(25 + 4) \\ = √(29)$

We have the final answer as

$√(29) \: \: \: or \: \: \:5.38 \: \: \: units$

Hope this helps you