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 3 4.24 4 point 2 4 8.06 8 point 0 6 18

Answer 1

To apply the Pythagorean Theorem to find the length between (1,5) and (4,8), we need to calculate the distance between the x-coordinates and the distance between the y-coordinates and then use those values in the theorem.

The distance between the x-coordinates is (4-1) = 3.
The distance between the y-coordinates is (8-5) = 3.

We can now use these values in the Pythagorean Theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

So, applying the theorem, the length between the two points is:

√(3^2 + 3^2) = √(9 + 9) = √18 ≈ 4.24.

The correct answer is 4.24.