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)

Responses

2.65
2.65

29
29

5.39
5.39

4.58

Answer 1

[AI-generated answer — Bot GPT 3.5]

The distance between the points (2, 5) and (7, 3) can be found using the Pythagorean Theorem:

Let's label the coordinates as:
(x₁, y₁) = (2, 5)
(x₂, y₂) = (7, 3)

The distance between these two points is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substituting the given values:
d = √((7 - 2)² + (3 - 5)²)
d = √(5² + (-2)²)
d = √(25 + 4)
d = √29

Rounding to the nearest hundredth, the distance is approximately 5.39.

Therefore, the correct answer is 5.39.