Question

Find the distance between the following pair of points:
(4, 5), (- 3, 2)

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 = 4
• x2 = -3
• y1 = 5
• y2 = 2

_____________[Put Values]

$\sf{→ Distance = \sqrt{(-3 - 4)^2 + ( 2 - 5)^2}} \\ \\ \sf{→ Distance = \sqrt{(-7 )^2 + ( -3)^2}} \\ \\ \sf{→ Distance = \sqrt{49 + 9}} \\ \\ \sf{→ Distance = \sqrt{58}} \\ \\ \sf{→ Distance = \sqrt{2 \times 29}} \\ \\ \sf{→ Distance = \sqrt{58}} \\ \\ \Large{\implies{\boxed{\boxed{\sf{Distance = \sqrt{58}}}}}}$

Answer 2

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_____________________________________________

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

$\begin{lgathered}\sf{=>Distance = \sqrt{(-3 - 4)^2 + ( 2 - 5)^2}} \\ \\ \sf{=> Distance = \sqrt{(-7 )^2 + ( -3)^2}} \\ \\ \sf{=> Distance = \sqrt{49 + 9}} \\ \\ \sf{=> Distance = \sqrt{58}} \\ \\ \sf{=> Distance = \sqrt{2 \times 29}} \\ \\ \sf{= > Distance = \sqrt{58}} \\ \\ \Large{\implies{\boxed{\green{\sf{Distance = \sqrt{58}}}}}}\end{lgathered} </p><p>$

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hops this may help you

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