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

Apr 8, 2015

Given the two points $\left({x}_{1} , {y}_{1}\right) \mathmr{and} \left({x}_{2} , {y}_{2}\right)$, the Distance between them is given by the formula:

color(green)( d = sqrt((x_2-x_1)^2+(y_2-y_1)^2

Here, the coordinates of the points are $\left(5 , 8\right) \mathmr{and} \left(5 , 1\right)$

d_(CD) = sqrt((5-5)^2+(1-8)^2

= sqrt((0)^2+(-7)^2

= $\sqrt{0 + 49}$

= $\sqrt{49}$

= $7$ units

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