Final answer:
The listed size of the TV would be 41 inches.
Step-by-step explanation:
In order to determine the listed size of the TV, we need to calculate the length of the diagonal. We can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the two sides are the length (36 inches) and the width (20 inches) of the TV. Let's calculate the diagonal:
a^2 + b^2 = c^2
36^2 + 20^2 = c^2
1296 + 400 = c^2
1696 = c^2
c = √1696
c ≈ 41 inches
Therefore, the listed size of the TV would be 41 inches.