Respuesta :

Use Pythagorean theorem
x^2 + x^2 = 2x^2
sqrt(2x^2)=x sqrt(2)

An expression for the maximum diagonal length is [tex]\rm \sqrt{2} x[/tex].

What is the diagonal?

In geometry, a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge.

A diagonal is a straight line connecting the opposite corners of a polygon through its vertex. To learn about diagonals, we must first know that: (a diagonal) is a line segment.

Let x be the length of the cutting diagonal.

The expression for the maximum diagonal length is;

[tex]\rm Diagonal \ length =\sqrt{x^2+x^2} \\\\ Diagonal \ length =\sqrt{2x^2} \\\\ Diagonal \ length =\sqrt{2} x[/tex]

Hence, an expression for the maximum diagonal length is [tex]\rm \sqrt{2} x[/tex].

Learn more about diagonal here;

https://brainly.com/question/3717636

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