Question

The size of a television screen is given by the length of its diagonal. What is the size of a television that has a width of 36 inches and a length of 48 inches

Answer 1

Answer:

Size of television screen is:

60 inches

Step-by-step explanation:

The Television screen is in the shape of a rectangle.

The size of diagonal in a rectangle is given by

$diagonal=\sqrt{Length^2+Width^2}$

Here  we are given

Length=48 inches

and Width=36 inches

$diagonal=\sqrt{48^2+36^2}$

$diagonal=\sqrt{2304+1296}\\ \\diagonal=\sqrt{3600}\\ \\diagonal=60$

Hence, size of television screen=Length of its diagonal

                                                     = 60 inches

Answer 2

You need to use the Pythagorean theorem for this. Take the square root of (48^2 + 36^2). This will give you the length of the diagonal.

48^2 + 36^2 = 3600

Remember we need to take the square root of 3600, which is just 60.

The length of the diagonal is 60 inches.