Respuesta :
Using the Pythagorean Theorem, it is found that Jimmy should purchase a TV of at most 34 inches.
What is the Pythagorean Theorem?
The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the diagonal is the hypotenuse of a right triangle of legs of 16 inches and 30 inches, hence:
[tex]d^2 = 16^2 + 30^2[/tex]
[tex]d = \sqrt{16^2 + 30^2}[/tex]
[tex]d = 34[/tex]
Hence, Jimmy should purchase a TV of at most 34 inches.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
