The description of a TV is based upon the diagonal length. If the height of a TV is 24 inches and the width is 32 inches, what is the TV’s diagonal length?
(1 point)
Responses
3
3
4
4
21
21
40
To find the diagonal length of the TV, we can use the Pythagorean theorem, which states that the square of the hypotenuse (diagonal) of a right triangle is equal to the sum of the squares of the other two sides.
In this case, the height and width of the TV form the legs of a right triangle, with the diagonal as the hypotenuse.
Using the Pythagorean theorem, we can calculate the diagonal length:
diagonal^2 = height^2 + width^2
diagonal^2 = 24^2 + 32^2
diagonal^2 = 576 + 1024
diagonal^2 = 1600
To find the diagonal length, we need to find the square root of 1600:
diagonal = √1600
diagonal = 40
Therefore, the TV's diagonal length is 40 inches.