Question

A 20-inch television has a screen that is 12 inches high. How wide is the screen?NOTE: Television size is a measurement of the screen's diagonal measure.

Answer 1

The television has 20 inch screen.

Therefore, the length of diagonal is 20 inches.

It is 12 inches high and let th ethe screen is x inches wide.

Therefore, by Pythagora's theorem,

$\begin{gathered} 12^2+x^2=20^2 \\ 144+x^2=400 \\ x^2=256 \\ x=16 \end{gathered}$

So, the television screen is 16 inches wide.