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

Trent Carpenter

Trent Carpenter

Answered question

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?

Answer & Explanation

smallq9

smallq9

Skilled2021-05-31Added 106 answers

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), the Pythagorean Theorem can then be used to determine l:
l2+142=502
l2+196=2500
l2=2304
l=2304
l=48
Consequently, the TV is 48 inches long.

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