Find the length of each side of a square if the diagonal is 7(square root 2)?

Question

How do I solve or set up this problem?

Answer 1

d = square root ( a ^ 2 + a ^ 2 )

d = square root ( 2 a ^ 2 )

d = square root ( 2 ) * square root ( a ^ 2 )

d = square root ( 2 ) * a

7 square root ( 2 ) = square root ( 2 ) * a Divide both sides by square root ( 2 )

7 = a

a = 7

Answer 2

Can you please explain that a little better, I am having a hard time understanding what you are saying

Answer 3

Bosnian is simply using the Pythagorean Theorem , where he called each of the sides a and the diagonal d

d^2 = a^2 + a^2
2a^2 = d^2
2a^2 = (7√2)^2 = 98
a^2 = 49
a = 7

Answer 4

Thank you