Middle School

The size of a rectangular television screen is given as the length of the diagonal of the screen. Find the size of a television screen that has a height of 38.4 inches and a width of 28.8 inches.

Answer :

Answer:

The size of a television screen is [tex]48\ in[/tex]

Step-by-step explanation:

Let

x-----> the length of the diagonal of the screen

we know that

Applying the Pythagoras Theorem

[tex]x^{2}=H^{2}+W^{2}[/tex]

we have

[tex]H=38.4\ in[/tex]

[tex]W=28.8\ in[/tex]

substitute the values

[tex]x^{2}=38.4^{2}+28.8^{2}[/tex]

[tex]x^{2}=2,304[/tex]

[tex]x=48\ in[/tex]

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