What is the distance between $(- 2, 117)$ $(-2,117)$ and $(- 10, 125)$ $(-10,125)$ ?

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Answer 1 · 2015-11-17T23:26:55

$19.698$ $19.698$ to 3 decimal places

Tony B

Let distance be s

Let $(x_{1}, y_{1}) \to (- 2, 117)$ $(x_1,y_1) -> (-2,117)$
Let $x_{2}, y_{2}) \to (- 10, 125)$ $x_2,y_2)-> (-10,125)$

Using Pythagoras

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

$s = \sqrt{{125 - 117}^{2} + {(- 10) - (- 2)}^{2}}$ $s = sqrt( {125-117}^2 + {(-10) -(-2)}^2)$

$s = \sqrt{18^{2} + {(- 8)}^{2}}$ $s= sqrt(18^2 + (-8)^2)$

$s = \sqrt{388}$ $s= sqrt(388)$

$s = 19.698$ $s =19.698$ to 3 decimal places

What is the distance between (−2,117)(-2,117) and (−10,125)(-10,125)?