A certain television is advertised as a 37-inch TV (the diagonal length). If the width of the TV is 12 inches, how many inches tall is the TV?

Mathematics · Middle School · Thu Feb 04 2021

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Given : diagonal, D = 37 inches

Width, W = 12 inches

Height, H = ?

A television is a rectangle. SO, we can apply phythogoras theorem to find the height of tv.

D² = H² + W²

(37)² = H² + (12)²

1369 = H² + 144

H² = 1369 - 144

H² = 1225

Taking square root on both sides, we get

H = 35 inches

 

Thus, TV is 35 inches tall.