Find the distance between the points (2, 5) and (5, 9).
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Correct Answer: Option B
Explanation:
Distance between two points (a, b) and (c, d) = \(\sqrt{(d - b)^{2} + (c - a)^{2}}
Distance between (2, 5) and (5, 9) = \(\sqrt{(9-5)^{2} + (5-2)^{2}}\)
= \(\sqrt{16 + 9} = \sqrt{25} = 5 units\)
Distance between two points (a, b) and (c, d) = \(\sqrt{(d - b)^{2} + (c - a)^{2}}
Distance between (2, 5) and (5, 9) = \(\sqrt{(9-5)^{2} + (5-2)^{2}}\)
= \(\sqrt{16 + 9} = \sqrt{25} = 5 units\)