Question

Find the distance between the points (1, 0) and (0, 2). √3 √5 1

Answer 1

For this case we have that by definition, the distance between two points is given by:

$d = \sqrt {(x_ {2} -x_ {1}) ^ 2+ (y_ {2} -y_ {1}) ^ 2}$

We have the following points:

$(x_ {1}, y_ {1}): (1,0)\\(x_ {2}, y_ {2}): (0,2)$

Substituting we have:

$d = \sqrt {(0-1) ^ 2 + (2-0) ^ 2}\\d = \sqrt {(- 1) ^ 2 + (2) ^ 2}\\d = \sqrt {1 + 4}\\d = \sqrt {5}$

Thus, the distance between the points is$\sqrt {5}$

Answer:

$d = \sqrt {5}$