Final answer:
To find the length of the diagonal, we can use the Pythagorean theorem. The diagonal of the TV can be calculated as approximately 31.92 inches.
Step-by-step explanation:
To find the length of the diagonal, we can use the Pythagorean theorem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the diagonal in our case) is equal to the sum of the squares of the lengths of the other two sides.
So, in this case, the diagonal of the TV forms the hypotenuse of a right triangle, with the length of one side being 28 inches and the length of the other side being 15.7 inches.
Using the Pythagorean theorem, we can calculate the length of the diagonal as follows:
diagonal^2 = (28 inches)^2 + (15.7 inches)^2
diagonal = sqrt((28^2) + (15.7^2))
diagonal ≈ 31.92 inches