# Distance between (5,12) and (10,2)?

Distance between (5,12) and (10,2)?
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Carina Moon
Let distance be d. Then
$×{d}^{2}={\left(\Delta x\right)}^{2}+{\left(\Delta y\right)}^{2}×××××x$ (Pythagorous' Theorem)
$⇒\sqrt{{d}^{2}}=\sqrt{{\left({x}_{2}-{x}_{1}\right)}^{2}+{\left({y}_{2}-{y}_{1}\right)}^{2}}$
$⇒d=\sqrt{{\left(10-5\right)}^{2}+{\left(2-12\right)}^{2}}$
$×x=\sqrt{{5}^{2}+{10}^{2}}$
$×x=\sqrt{25+100}$
$×x=5\sqrt{5}$