Apply the Pythagorean Theorem to find the length between (1,5) and (4, 8) .Round your answer to the nearest hundredth, if necessary.

18
18

8.06

4.24

3

1 answer

To find the length between the points (1,5) and (4,8) using the Pythagorean Theorem, we can use the formula:

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

In this case, x1 = 1, y1 = 5, x2 = 4, and y2 = 8.

Distance = √((4 - 1)^2 + (8 - 5)^2)
Distance = √(3^2 + 3^2)
Distance = √(9 + 9)
Distance = √18

Rounded to the nearest hundredth, the length between the points is approximately 4.24. Therefore, the correct answer is 4.24.