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if the area if a square is 64 cm^2,what is the length of the diagonal of the square.

 Jul 24, 2019
 #1
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All sides are equal in a square

x = side length

 

x * x = area

x*x =64

x = 8 cm       Now use the pythagorean theorem to find the diagonal....

                          a right triangle with two legs , each = 8    and the diagonal is the hypotenuse.    You can do it....

 Jul 24, 2019
 #2
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First find the sides of the square:

\(\sqrt{64} \\Then\ you\ should\ use\ the\ Pythagorean\ theorem\ to\ get\\ \\\sqrt{64+64} \\\sqrt{128} \\8\sqrt{2}\)

 

Thats your diagonal:

8sqrt2

 Jul 24, 2019

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