Question

Find the distance between the following pair of points:
(0, 0), (- 5, 12)

Answer 1

$\Large{\underline{\underline{\bf{Solution :}}}}$

We know that,

$\Large{\implies{\boxed{\boxed{\sf{Distanve = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}}}}$

Where,

• x1 = 0
• x2 = -5
• y1 = 0
• y2 = 12

_____________[Put Values]

$\sf{→ Distance = \sqrt{(-5 - 0)^2 + (12 - 0)^2}} \\ \\ \sf{→ Distance = \sqrt{(-5 )^2 + (12 )^2}} \\ \\ \sf{→ Distance = \sqrt{25 + 144}} \\ \\ \sf{→ Distance = \sqrt{169}} \\ \\ \sf{→ Distance = (\sqrt{13})^2} \\ \\ \sf{→ Distance = 13} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = 13}}}}}$

Answer 2

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_____________________________________________

$\boxed{ \pink {\frak{distance = \sqrt{ {(x2 - x1)}^{2} {(y2 - y1)}^{2} } }}}$

$\begin{lgathered}\sf{=> Distance = \sqrt{(-5 - 0)^2 + (12 - 0)^2}} \\ \\ \sf{=> Distance = \sqrt{(-5 )^2 + (12 )^2}} \\ \\ \sf{=> Distance = \sqrt{25 + 144}} \\ \\ \sf{=> Distance = \sqrt{169}} \\ \\ \sf{=>Distance = (\sqrt{13})^2} \\ \\ \sf{=> Distance = 13} \\ \\ \Large{\implies{\boxed{\green{\sf{Distance = 13}}}}}\end{lgathered} </p><p>$

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hops this may help you

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