Question

Tv Is 40 inches in length and 24 inches in width how tall is it

Answer 1

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