What is the distance between (0,0) and (3,4)?

Master the Certify Teacher EC-6 (391) Mathematics Test. Use flashcards and multiple choice questions with explanations. Boost your confidence and excel in your exam!

Multiple Choice

What is the distance between (0,0) and (3,4)?

Explanation:
The distance between two points on a coordinate plane uses the Pythagorean theorem. From the origin to (3, 4) you move 3 units horizontally and 4 units vertically, forming a right triangle. The distance is the hypotenuse: sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. So the distance is 5 units, which matches the well-known 3-4-5 right triangle.

The distance between two points on a coordinate plane uses the Pythagorean theorem. From the origin to (3, 4) you move 3 units horizontally and 4 units vertically, forming a right triangle. The distance is the hypotenuse: sqrt(3^2 + 4^2) = sqrt(9 + 16) = sqrt(25) = 5. So the distance is 5 units, which matches the well-known 3-4-5 right triangle.

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