Question

find the distance between the points A (8,3) B (2,11) using distance formula​

Answer 1

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Answer 2

The distance between the given points is 10 units

Solution:

The distance between two points is given by formula:

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From given,

$(x_1, y_1)=(8, 3)\\\\(x_2, y_2) = (2, 11)$

Substituting the values we get,

$d = \sqrt{(2-8)^2 + (11-3)^2}\\\\d = \sqrt{(-6)^2 + 8^2}\\\\d = \sqrt{36+64}\\\\d = \sqrt{100}\\\\d = \pm 10\\\\Ignore\ negative\ value\\\\d = 10$

Thus distance between the given points is 10 units

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