What is the distance between the points (38, 30) and (14, 20)?

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Answer 1 · 2016-12-04T14:42:54

The distance between the points is $24.7$ $24.7$ rounded to the nearest tenth.

The formula for calculating the distance between two points is:

$d = \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $d = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)$

Substituting in the points given in this problem and calculating for $d$ $d$ is:

$d = \sqrt{{(14 - 38)}^{2} + {(20 - 14)}^{2}}$ $d = sqrt((14 - 38)^2 + (20 - 14)^2)$

$d = \sqrt{{(- 24)}^{2} + {(- 6)}^{2}}$ $d = sqrt((-24)^2 + (-6)^2)$

$d = \sqrt{576 + 36}$ $d = sqrt(576 + 36)$

$d = \sqrt{602}$ $d = sqrt(602)$

$d = 24.7$ $d = 24.7$ rounded to the nearest tenth.