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
ANSWERED
asked 2021-05-30
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?

Answers (1)

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.

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