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]