Question

Find the distance between the points G(-5, 4) and H(2, 6).

Answer 1

Answer:

The answer is

$\sqrt{53} \: \: or \: \: 7.28 \: \: \: \: units$

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

G(-5, 4) and H(2, 6)

The distance between them is

$|GH | = \sqrt{ ({ - 5 - 2})^{2} + ({4 - 6})^{2} } \\ = \sqrt{ ({ - 7})^{2} + ( { - 2})^{2} } \: \\ = \sqrt{49 + 4} \\ = \sqrt{53} \: \: \: \: \: \: \: \: \\ = 7.280109$

We have the final answer as

$\sqrt{53} \: \: or \: \: 7.28 \: \: \: \: units$

Hope this helps you