Question

# A certain television is advertised as a 50 -inch TV(the diagonal length). If the width ofthe TVis 14 inches, how many inches tall is the TV? \hline

Solid Geometry
A certain television is advertised as a 50 -inch TV(the diagonal length). If the width of the TVis 14 inches, how many inches tall is the TV?

2021-05-31

Let l be the length of the TV, in inches. Since the diagonal of the TV forms a right triangle with the length and width (legs), then we can use the Pythagorean Theorem to find l:
$$\displaystyle{l}^{{2}}+{14}^{{2}}={50}^{{2}}$$
$$\displaystyle{l}^{{2}}+{196}={2500}$$
$$\displaystyle{l}^{{2}}={2304}$$
$$\displaystyle{l}=\sqrt{{2304}}$$
$$l=48$$
So, the length of the TV is 48 inches.