Answer
TV screens are measured on the diagonal
. In this specific case the TV is shaped like a rectangle , whose diagonal is 40 i n c h e s and its width is 24 i n c h e s : w =
24 i n d = 40 i n
Then , the sides of the rectangle and its diagonal form a right triangle .
Therefore , we can determine the height ( l )
if we can apply the Pythagorean theorem: d 2 = l 2 + w 2
So , solving for l : l = √ d 2 − w 2
Thus , substituting: l = √ ( 40 ) 2 − ( 24 ) 2
Simplifying: d = √ 1024 = 32 i n
Therefore
, the height of the TV is:
32 i n
