A designer is designing a \(50\)-inch TV, which implies the diagonal of the TV's screen will be \(50\) inches long. The screen's length to width ratio will be \(4:3\text{.}\) Find the TV screen's length and width.

a rectangle for the TV with a diagonal line drawn and labeled c=50 in; the base of the TV is labeled a and the height is labeled b
Figure8.3.20Pythagorean Theorem Problem