Question

Find the distance between the coordinate of the points A(2, 3) and B(10, -3).​

Answer 1

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Answer 2

SOLUTION

TO DETERMINE

The distance between the coordinate of the points A(2, 3) and B(10, -3)

FORMULA TO BE IMPLEMENTED

The distance between the points A (a, b) & B(x, y) is

$\sf{ = \sqrt{ {(x - a)}^{2} + {(y - b)}^{2} } } \: \: \: unit$

EVALUATION

Here the given points are A(2, 3) and B(10, -3)

Hence the required distance between the points A(2, 3) and B(10, -3)

$\sf{ = \sqrt{ {(10- 2)}^{2} + {( - 3 - 3)}^{2} } } \: \: \: unit$

$\sf{ = \sqrt{ {(8)}^{2} + {( - 6)}^{2} } } \: \: \: unit$

$\sf{ = \sqrt{ 64 + 36} } \: \: \: unit$

$\sf{ = \sqrt{ 100} } \: \: \: unit$

$\sf{ =10 \: \: \: unit}$

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