Question

Find the destance between the points:
(2.-2)&(14.10) with answer​

Answer 1

Answer:

16.97 units

Step-by-step explanation:

Distance is given by

$\sqrt{(x_{1}- x_{2})^{2} +(y_{1} -y_{2} )^{2}$

here,

$x_{1} = 2,\\x_{2} =14\\y_{1} =-2,\\y_{2} = 10$

Answer 2

Solution -

We have two points,

• A(2, -2)
• B(14, 10)

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To find the distance between these two points, we have to use the given formula:

$\large{\bf{\longmapsto{\boxed{\pink{AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}}}}$

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Here,

• $\sf{x_1 = 2\: and\: x_2 = 14}$
• $\sf{y_1 = -2\: and\: y_2 = 10}$

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Substituting the values in formula

$\tt\dashrightarrow{AB = \sqrt{(14 - 2)^2 + (10 + 2)^2}}$

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$\tt\dashrightarrow{AB = \sqrt{(12)^2 + (12)^2}}$

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$\tt\dashrightarrow{AB = \sqrt{144 + 144}}$

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$\tt\dashrightarrow{AB = \sqrt{288}}$

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$\frak\dashrightarrow{\purple{AB = 12 \sqrt{2}}}$

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★ $\small\underline{\sf{Hence,\: the\: required\: distance\: is\: 12 \sqrt{2}\: units.}}$