On a coordinate grid what is the distance from C(5, 8) to D(5, 1)?

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Answer 1 · 2015-04-08T08:09:11

Given the two points $(x_{1}, y_{1}) and (x_{2}, y_{2})$ $(x_1, y_1) and (x_2, y_2)$ , the Distance between them is given by the formula:

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

Here, the coordinates of the points are $(5, 8) and (5, 1)$ $(5, 8) and (5, 1)$

$d_{C D} = \sqrt{{(5 - 5)}^{2} + {(1 - 8)}^{2}}$ $d_(CD) = sqrt((5-5)^2+(1-8)^2$

= $\sqrt{{(0)}^{2} + {(- 7)}^{2}}$ $sqrt((0)^2+(-7)^2$

= $\sqrt{0 + 49}$ $sqrt(0+49)$

= $\sqrt{49}$ $sqrt(49)$

= $7$ $7$ units

The distance from C(5, 8) to D(5, 1) is $7$ $7$ units.