Respuesta :

38
(Rounded it up from 38.305)

As per the Pythagorean theorem, the length of the diagonal of the table is 38.305 inches.

What is the Pythagorean theorem?

"Pythagorean theorem for the three sides of a right triangle states that the square of the hypotenuse is equal to the sum of the of the squares on the other two sides."

Given the width of the table is 22.5 inches.

The length of the table is 31 inches.

Therefore, the diagonal of the table as per Pythagorean theorem is

[tex]= \sqrt{(31)^{2} + (22.5)^{2}} inches\\= \sqrt{1467.25} inches\\ = 38.305 inches[/tex]

(We have ignored the negative value)

Learn more about Pythagorean theorem here: https://brainly.com/question/17106915

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