What is the distance between $(18, 5)$ $(18,5)$ and $(7, 4)$ $(7,4)$ ?

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Answer 1 · 2016-01-18T17:28:38

Distance $= \sqrt{122}$ $=sqrt(122$

The coordinates are :
$(18, 5) = x_{1}, y_{1}$ $(18,5) =color(blue)(x_1,y_1$
$(7, 4) = x_{2}, y_{2}$ $(7,4) = color(blue)(x_2,y_2$

the distance is found using formula
distance $= \sqrt{{(x_{2} - x_{1})}_{2}^{2} + {(y_{2} - y_{1})}_{2}^{2}}$ $=sqrt((x_2-x_1)^2 + (y_2-y_1)^2$

$= \sqrt{{(7 - 18)}^{2} + {(4 - 5)}^{2}}$ $=sqrt((7-18)^2 + (4-5)^2$

$= \sqrt{{(- 11)}^{2} + {(- 1)}^{2}}$ $=sqrt((-11)^2 + (-1)^2$

$= \sqrt{(121 + 1)}$ $=sqrt((121 + 1)$

$= \sqrt{(122)}$ $=sqrt((122)$

What is the distance between (18,5)(18,5) and (7,4)(7,4)?