Question

A certain television is advertised as a 85-inch TV (the diagonal length). If the width ofthe TV is 67 inches, how tall is the TV? Round to the nearest tenth of an inch.

Answer 1

Let's take a look at the screen:

Using the Pythagorean theorem,

$85^2=67^2+y^2$

Solving for y,

$\begin{gathered} 85^2=67^2+y^2 \\ \rightarrow y^2=85^2-67^2 \\ \rightarrow y=\sqrt[]{85^2-67^2} \\ \rightarrow y=52.3 \end{gathered}$

Therefore, the TV is 52.3" tall