A certain television is advertised as a 20-inch TV (the diagonal length). If the width of the TV is 16 inches, how many inches tall is the TV?

The answer is 12 .

Step-by-step explanation:

The TV is 12 inches tall.

Step-by-step explanation:

A certain television is advertised as a 20-inch TV (the diagonal length). If the width of the TV is 16 inches, how many inches tall is the TV?

To find how many inches tall the TV is, we will simply use pythagoras theorem to find it.

Pythagoras theorem states that, in a right-angle triangle;

opposite² + adjacent² = hypotenuse²

From the question given and from the diagram below,

hypotenuse = 20

adjacent = 16

Then let opposite which is the height of the TV = x

Using pythagoras theorem to solve this problem;

opposite² + adjacent² = hypotenuse²

        x²     +     16²       = 20²

        x²     +   256     =  400

Subtract 256 from both-side of the equation

x²     +   256 - 256    =  400 - 256

x²  =  144

Take the square root of both-side of the equation

√x²  =  √144

x  = 12

Therefore, the TV is 12 inches tall.

a is the right answer