What is the distance between the points (0, 0) and (5, 12)?

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Multiple Choice

What is the distance between the points (0, 0) and (5, 12)?

Explanation:
To find the distance between two points on a plane, use the Pythagorean idea: distance is the square root of the sum of the squares of the horizontal and vertical differences. Here the horizontal difference is 5 and the vertical difference is 12. So the distance is sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169) = 13. This is a classic 5-12-13 right triangle, which is why the numbers line up so neatly. The other options would come from not including both horizontal and vertical changes or from different differences, but the actual straight-line distance between the points is 13 units.

To find the distance between two points on a plane, use the Pythagorean idea: distance is the square root of the sum of the squares of the horizontal and vertical differences. Here the horizontal difference is 5 and the vertical difference is 12. So the distance is sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169) = 13. This is a classic 5-12-13 right triangle, which is why the numbers line up so neatly. The other options would come from not including both horizontal and vertical changes or from different differences, but the actual straight-line distance between the points is 13 units.

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