The distance between (1,2) and (4,6) is which value?

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Multiple Choice

The distance between (1,2) and (4,6) is which value?

Explanation:
The distance between two points is found using the Pythagorean idea: the difference in x-coordinates and the difference in y-coordinates form the legs of a right triangle, and the distance is the length of the hypotenuse. Here, the x-difference is 4 − 1 = 3 and the y-difference is 6 − 2 = 4. The distance is sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. This uses the familiar 3-4-5 right triangle, so the straight-line distance between the points is 5.

The distance between two points is found using the Pythagorean idea: the difference in x-coordinates and the difference in y-coordinates form the legs of a right triangle, and the distance is the length of the hypotenuse.

Here, the x-difference is 4 − 1 = 3 and the y-difference is 6 − 2 = 4. The distance is sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. This uses the familiar 3-4-5 right triangle, so the straight-line distance between the points is 5.

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