Question

find the distance between points X(1,-2) and Y(9,-10)​

Answer 1

$Distance \: between \: the points \: X \: and \: Y \\ = \sqrt{ {(1 - 9)}^{2} + ( { - 2 - ( - 10))}^{2} } \\ = \sqrt{ {( - 8)}^{2} + { (- 2 + 10)}^{2} } \\ = \sqrt{64 + {(8)}^{2} } \\ = \sqrt{64 + 64} \\ \sqrt{2 \times 64} \\ = 64 \sqrt{2} \: ans$

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