How do you find the distance between $(2, 10)$ $(2,10)$ and $(10, 16)$ $(10,16)$ ?

Question

1970 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-06-21T14:19:00

10

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

Plug your points into the formula.

You can make either coordinate set #1. Let's use (2, 10) as our first.

$(2, 10)$ $(2, 10)$
$x_{1} = 2, y_{1} = 10$ $x_1 = 2, y_1 = 10$

$(10, 16)$ $(10, 16)$
$x_{2} = 10, y_{2} = 16$ $x_2 = 10, y_2 = 16$

Distance = $\sqrt{{(10 - 2)}^{2} + {(16 - 10)}^{2}}$ $sqrt((10 - 2)^2 + (16 - 10)^2)$

$= \sqrt{8^{2} + 6^{2}}$ $= sqrt(8^2 + 6^2)$
$= \sqrt{64 + 36}$ $= sqrt(64 + 36)$
$= \sqrt{100}$ $= sqrt(100)$
$= 10$ $= 10$

The distance between the two points is 10.

How do you find the distance between (2,10)(2,10) and (10,16)(10,16)?