What is the distance between $(7, - 16)$ $(7,-16)$ and $(- 14, 24)$ $(-14,24)$ ?

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Answer 1 · 2016-03-08T07:22:23

$45.177$ $45.177$

The distance between two points $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ is given by

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

Hence distance between $(7, - 16)$ $(7,−16)$ and $(- 14, 24)$ $(−14,24)$ is

$\sqrt{{((- 14) - 7)}^{2} + (24 - {(- 16)}^{2})}$ $sqrt(((-14)-7)^2+(24-(-16)^2)$ or

$\sqrt{{(- 21)}^{2} + {(40)}^{2}}$ $sqrt((-21)^2+(40)^2)$ or

$\sqrt{441 + 1600}$ $sqrt(441+1600)$ or $\sqrt{2041}$ $sqrt2041$ or $45.177$ $45.177$

What is the distance between (7,−16)(7,-16) and (−14,24)(-14,24)?