What does it mean to refer a 20-in television set or a 25-in TV? Such units refer to the diagonal of the screen. A 20-in set also has a width of 16 inches. What is the height?

If 20" is the diagonal and the screen is rectangular, as they all are these days, the height is

sqrt[(20)^2 - (16)^2] = sqrt (144) = 12 inches

The followng has nothing to do with algebra but might interest you anyway:

The 4:3 width/height ratio of this TV example has been replaced by 16:9 ratio flat screen TVs that are more suitable for the format of most movies and sports broadcasts these days

abisek babaa

To find the height of the 20-inch television set, you can use the concept of aspect ratio. The aspect ratio is the proportional relationship between the width and height of a screen.

For most television sets, the aspect ratio is 16:9, which means that the width is 16 units for every 9 units of height.

Since the width of the 20-inch set is given as 16 inches, we can use the aspect ratio to find the height.

First, we can set up the following equation to find the height:
Width / Height = 16 / 9

Substituting the given width of 16 inches, we get:
16 / Height = 16 / 9

Now, we can solve for the height.
To isolate the height, we cross multiply:
16 * 9 = 16 * Height

Simplifying the equation gives us:
144 = 16 * Height

Finally, we can solve for the height by dividing both sides of the equation by 16:
Height = 144 / 16

Calculating the height, we get:
Height = 9 inches

Therefore, the height of the 20-inch television set is 9 inches.