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upandover

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 [tex]\sqrt{2}[/tex])^2

2x^2 = 1568

x^2 = 784

x = 28

The length of each side is 28 units.

Hope this helps!! :)

mirai123

Answer:

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

a square's diagonal is [tex]s\sqrt{2}[/tex], thus, each length measures 28.

You may use the pythagorean theorem:

[tex](28\sqrt{2} )^2=s^2+s^2\\28\sqrt{2} =\sqrt{s^2+s^2} \\28\sqrt{2} =s\sqrt{2} \\[/tex]

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