Distance between points (1,2) and (4,6) is

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Multiple Choice

Distance between points (1,2) and (4,6) is

Explanation:
Think about distance in the plane as the length of the straight line between the two points. The horizontal change from (1,2) to (4,6) is 4 − 1 = 3, and the vertical change is 6 − 2 = 4. Those differences form the legs of a right triangle, so use the Pythagorean theorem: distance = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. So the distance is 5 units.

Think about distance in the plane as the length of the straight line between the two points. The horizontal change from (1,2) to (4,6) is 4 − 1 = 3, and the vertical change is 6 − 2 = 4. Those differences form the legs of a right triangle, so use the Pythagorean theorem: distance = sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. So the distance is 5 units.

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