Question

A certain television is advertised as a 50 -inch TV(the

Solid Geometry
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asked 2021-08-10
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?

Expert Answers (1)

2021-08-11
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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