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

29
29

2.65
2.65

4.58
4.58

5.39

1 answer

To find the length between the points (2, 5) and (7, 3), we can use the Pythagorean Theorem.

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the two sides are the horizontal distance between the x-coordinates of the points (7-2 = 5) and the vertical distance between the y-coordinates of the points (3-5 = -2).

Using the Pythagorean Theorem,
length = √(5^2 + (-2)^2)
= √(25 + 4)
= √29

Rounding to the nearest hundredth, the length between the points (2, 5) and (7, 3) is approximately 5.39.

Therefore, the correct answer is 5.39.