Question

Apply the Pythagorean Theorem to find the length between (2, 5) and (7, 3) Round your answer to the nearest hundredth, if necessary. (1 point)

4.58

5.38

29

2.65

Answers

GPT 3.5
To find the length between (2, 5) and (7, 3) using the Pythagorean Theorem, we can consider the coordinates as the vertices of a right triangle. The difference in the x-coordinates is 7 - 2 = 5, and the difference in the y-coordinates is 3 - 5 = -2.

Using the Pythagorean Theorem, the length between the two points is given by:
√((5)^2 + (-2)^2) = √(25 + 4) = √29 ≈ 5.38

Therefore, the length between (2, 5) and (7, 3) is approximately 5.38 (rounded to the nearest hundredth).

The correct answer is 5.38.

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