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Many television screens are rectangles that are measured by the length of their diagonals. The ratio of the horizontal length to the height in a standard television screen is 4:3 What is the horizontal length (in inches) of a ``25-inch'' television screen?

 May 21, 2021
 #1
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Let  the  height   =  H        then  the  horizontal  length  = (4/3)H

 

Using  the  Pythagorean Theorem  :

 

H^2  +   [ (4/3)H  ]^2   =   25^2

 

H^2  +  (16/9) H^2   =   625

 

(25/9)H^2  =  625

 

H^2  =  625  ( 9 / 25)    

 

H^2   =  25 * 9

 

H^2  =  225             take thw positive root

 

H  =   15

 

And the horizontal length =  (4/3)H =  (4/3)(15)  =   20  in

 

 

cool cool cool

 May 21, 2021

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