Question

Apply the Pythagorean Theorem to find the length between (1,5) and (4, 8) . Round your answer to the nearest hundredth, if necessary.(1 point)
Responses
3
18
8.06
4.24

Answer 1

To apply the Pythagorean Theorem, first find the difference in the x-coordinates and the difference in the y-coordinates:

Δx = 4 - 1 = 3
Δy = 8 - 5 = 3

Then, use these differences to calculate the distance:

Distance = √(Δx^2 + Δy^2)

Distance = √(3^2 + 3^2) = √(9 + 9) = √18 ≈ 4.24

Rounded to the nearest hundredth, the length between (1,5) and (4,8) is 4.24.