How do you find the distance between (16,-6), (1,2)?

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How do you find the distance between (16,-6), (1,2)?

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Answer 1 · 2017-01-26T15:44:39

See the solution process below:

Explanation:

The formula for calculating the distance between two points is:

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

Substituting the value from the points in the problem gives:

$d = \sqrt{{(1 - 16)}^{2} + {(2 - - 6)}^{2}}$ $d = sqrt((color(red)(1) - color(blue)(16))^2 + (color(red)(2) - color(blue)(-6))^2)$

$d = \sqrt{{(1 - 16)}^{2} + {(2 + 6)}^{2}}$ $d = sqrt((color(red)(1) - color(blue)(16))^2 + (color(red)(2) + color(blue)(6))^2)$

$d = \sqrt{- 15^{2} + 8^{2}}$ $d = sqrt(-15^2 + 8^2)$

$d = \sqrt{225 + 64}$ $d = sqrt(225 + 64)$

$d = \sqrt{289} = 17$ $d = sqrt(289) = 17$

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How do you find the distance between (16,-6), (1,2)?

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