Question

Find the distance between the following pair of points:
(5, - 12), (9, - 9)

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 = 5
• x2 = 9
• y1 = -12
• y2 = -9

_____________[Put Values]

$\sf{→ Distance = \sqrt{(9 - 5)^2 + \big(-9 - (-12)\big)^2}} \\ \\ \sf{→ Distance = \sqrt{(4 )^2 + (-9 + 12 )^2}} \\ \\ \sf{→ Distance = \sqrt{16 + 9}} \\ \\ \sf{→ Distance = \sqrt{25}} \\ \\ \sf{→ Distance = (\sqrt{5})^2} \\ \\ \sf{→ Distance = 5} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = 5}}}}}$

Answer 2

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_____________________________________________

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

$\begin{lgathered}\sf{=> Distance = \sqrt{(9- 5)^2 + (-9 +12)^2}} \\ \\ \sf{=> Distance = \sqrt{(-4)^2 + (3 )^2}} \\ \\ \sf{=> Distance = \sqrt{16+9}} \\ \\ \sf{=> Distance = \sqrt{25}} \\ \\ \sf{=>Distance = (\sqrt{25})^2} \\ \\ \sf{=> Distance = 5} \\ \\ \Large{\implies{\boxed{\green{\sf{Distance = 5}}}}}\end{lgathered} </p><p>$

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hops this may help you

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