Question

A square's diagonal (hypotenuse) is 28V2. What is the length of each side?

Answer 1

Once it is a square, the lengths are the same. Considering that

a square's diagonal is
`s√(2)`, thus, each length measures 28.

You may use the pythagorean theorem:

`(28√(2) )^2=s^2+s^2\\28√(2) =√(s^2+s^2) \\28√(2) =s√(2) \\`

Answer 2

In a square, all four sides are the same length. Imagine a square that has been cut by a diagonal. We have two triangles, each with the same length hypotenuse (diagonal length) and two equal side lengths. To find the length of each side, we can use the Pythagorean theorem.

I used x in place of a and b, as both side lengths are equal.

x^2 + x^2 = (28
`√(2)`)^2

2x^2 = 1568

x^2 = 784

x = 28

The length of each side is 28 units.

Hope this helps!! :)