Using the Pythagorean Theorem, it is found that the length of the diagonal of the square shown below is given by:
F. [tex]h = 7\sqrt{2}[/tex]
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, while the legs are the sides of [tex]l_1 = l_2 = 7[/tex], hence:
[tex]h^2 = l_1^2 + l_2^2[/tex]
[tex]h^2 = 7^2 + 7^2[/tex]
[tex]h^2 = 2 \times 49[/tex]
[tex]h = \sqrt{2 \times 49}[/tex]
[tex]h = 7\sqrt{2}[/tex]
Hence option F is correct.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982
