Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth if necessary. (1,4) (3,4) (3,2) (1,2)

Answer 1

To find the length of the diagonal of the square, we need to find the distance between two opposite corners of the square. Let's use the Pythagorean theorem:

Let's consider two opposite corners of the square, namely (1,4) and (3,2).

The vertical distance between these two points is the difference between their y-coordinates: 4 - 2 = 2.

The horizontal distance between these two points is the difference between their x-coordinates: 3 - 1 = 2.

Using the Pythagorean theorem, we can calculate the length of the diagonal:

Diagonal^2 = vertical distance^2 + horizontal distance^2

Diagonal^2 = 2^2 + 2^2

Diagonal^2 = 4 + 4

Diagonal^2 = 8

Taking the square root of both sides, we get:

Diagonal = √8 ≈ 2.83

Rounding to the nearest hundredth, the length of the diagonal of the square is approximately 2.83.

Answer 2

OMG i got 1/5.... so if u dont want to make that same mistake here:

1. 2.83
2. 5.39
3. 10
4. 6:40
5. 8.54

bye! :3

Answer 3

Red got the first one wrong, but mostly correct. Thanks for atleast four of the answers!