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What is the distance between the following points?

What is the distance between the following points?-example-1

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Answer:

(c) √65

Explanation:

If you draw a line segment between the points, you can see that it makes a triangle with the grid lines. The segment you drew is the hypotenuse of a right triangle that is 1 unit wide and 8 units high. The Pythagorean theorem tells you the length of that hypotenuse is ...

length = √(1² +8²) = √(1 +64)

length = √65

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