A certain television is advertised as a 29-inch TV (the diagonal length). If the width of the TV is 20 inches, how many inches tall is the TV?

T^2 + 20^2 = 29^2

Solve for T

To find the height of the TV, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

In this case, the width of the TV is one leg and the height is the other leg, while the diagonal length is the hypotenuse. We can set up the equation as follows:

Width^2 + Height^2 = Diagonal length^2

Plugging in the values we know:

20^2 + Height^2 = 29^2

Simplifying:

400 + Height^2 = 841

Subtracting 400 from both sides:

Height^2 = 841 - 400

Height^2 = 441

Taking the square root of both sides:

Height = √441

Height = 21 inches

Therefore, the TV is 21 inches tall.