Question

Apply the Pythagorean theorem to find the link between (2,5) and (7,3) round your answer to the nearest hundredth

Answer 1

To apply the Pythagorean theorem, we need to find the length of the hypotenuse of the right triangle formed by the given points.

First, we can calculate the difference in the x-coordinates:
Δx = 7 - 2 = 5

Then, we can calculate the difference in the y-coordinates:
Δy = 3 - 5 = -2

Using these differences, we can find the length of the hypotenuse using the Pythagorean theorem:

c^2 = Δx^2 + Δy^2

c^2 = 5^2 + (-2)^2
c^2 = 25 + 4
c^2 = 29

Taking the square root of both sides, we can find the length of the hypotenuse:
c ≈ √29 ≈ 5.39

Rounding the answer to the nearest hundredth, the length of the hypotenuse is approximately 5.39.