Answer:
The answer is
[tex]\sqrt{53} \: \: or \: \: 7.28 \: \: \: \: units[/tex]
Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
G(-5, 4) and H(2, 6)
The distance between them is
[tex] |GH | = \sqrt{ ({ - 5 - 2})^{2} + ({4 - 6})^{2} } \\ = \sqrt{ ({ - 7})^{2} + ( { - 2})^{2} } \: \\ = \sqrt{49 + 4} \\ = \sqrt{53} \: \: \: \: \: \: \: \: \\ = 7.280109[/tex]
We have the final answer as
[tex] \sqrt{53} \: \: or \: \: 7.28 \: \: \: \: units[/tex]
Hope this helps you
