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

Answer 1

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

First, we need to find the lengths of the horizontal and vertical sides of the right triangle formed by connecting the two points. The horizontal side is the difference in x-coordinates: 7 - 2 = 5. The vertical side is the difference in y-coordinates: 3 - 5 = -2.

Using the Pythagorean Theorem, we can calculate the length of the hypotenuse, which is the distance between the two points:

Length = √(horizontal side^2 + vertical side^2)
= √(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.

Answer 2

Apply the Pythagorean Theorem to find the length between (- 1, 6) and (5, - 2) Round your answer to the nearest hundredth, if necessary. (1 point)

Answer 3

To find the length between the points (-1, 6) and (5, -2), we can use the Pythagorean Theorem.

First, we need to find the lengths of the horizontal and vertical sides of the right triangle formed by connecting the two points. The horizontal side is the difference in x-coordinates: 5 - (-1) = 6. The vertical side is the difference in y-coordinates: -2 - 6 = -8.

Using the Pythagorean Theorem, we can calculate the length of the hypotenuse, which is the distance between the two points:

Length = √(horizontal side^2 + vertical side^2)
= √(6^2 + (-8)^2)
= √(36 + 64)
= √100
= 10

Rounding to the nearest hundredth, the length between the points (-1, 6) and (5, -2) is 10.00.