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
0 5.38
0 2.65
• 29

Answer 1

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)
• 10
• 9.22
• 100
20 14

Answer 2

To find the length between two points using the Pythagorean theorem, we can use the formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point are (2, 5) and the coordinates of the second point are (7, 3).

Using the formula, we can calculate the distance as follows:

distance = √((7 - 2)^2 + (3 - 5)^2)
= √(5^2 + (-2)^2)
= √(25 + 4)
= √29

Rounding this to the nearest hundredth, we get 5.38.

Therefore, the length between the two points is approximately 5.38.

Answer 3

To find the distance between two points using the Pythagorean theorem, we can use the formula:

distance = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the coordinates of the first point are (-1, 6) and the coordinates of the second point are (5, -2).

Using the formula, we can calculate the distance as follows:

distance = √((5 - (-1))^2 + (-2 - 6)^2)
= √((5 + 1)^2 + (-2 - 6)^2)
= √(6^2 + (-8)^2)
= √(36 + 64)
= √100

The square root of 100 is 10.

Therefore, the length between the two points is 10.