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
llm
Answered on
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.