Apply the Pythagorean Theorem to find the length of the diagonal of the square. Round your answer to the nearest hundredth, if necessary.

Question

Responses
4
4.24
8
2.83

Answer 1

To find the length of the diagonal of a square using the Pythagorean Theorem, we need to know the length of one side of the square.

Assuming the length of one side is 4 units:

We can set up the Pythagorean theorem equation as:

diagonal^2 = side^2 + side^2
diagonal^2 = 4^2 + 4^2
diagonal^2 = 16 + 16
diagonal^2 = 32

Taking the square root of both sides, we get:

diagonal = √32

Rounding to the nearest hundredth:

diagonal ≈ 5.66

Therefore, the length of the diagonal of the square is approximately 5.66 units.