Respuesta :

Answer:

[tex]\frac{1}{2}[/tex] x²

Step-by-step explanation:

let the length of the side be l

Then using Pythagoras' identity on the right triangle formed by the diagonal ( hypotenuse ) and the 2 sides

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

l² + l² = x²

2l² = x² ( divide both sides by 2 )

l² = [tex]\frac{1}{2}[/tex] x² ( since A of square = l² )

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