What is the distance between the points (1, 2) and (4, 6)?

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Study for the GMAS 6th Grade Mathematics Test. Prepare with flashcards and multiple choice questions, each with hints and explanations. Get ready for your exam!

Multiple Choice

What is the distance between the points (1, 2) and (4, 6)?

Explanation:
To find the distance between two points, use the horizontal and vertical differences as the legs of a right triangle. From (1, 2) to (4, 6), the horizontal change is 4 − 1 = 3 and the vertical change is 6 − 2 = 4. The distance is the hypotenuse: sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. This is a 3-4-5 triangle, a common simple distance case. The distance between the points is 5.

To find the distance between two points, use the horizontal and vertical differences as the legs of a right triangle. From (1, 2) to (4, 6), the horizontal change is 4 − 1 = 3 and the vertical change is 6 − 2 = 4. The distance is the hypotenuse: sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. This is a 3-4-5 triangle, a common simple distance case. The distance between the points is 5.

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