Given:
Diagonal measurement of a tv screen = 42 inches.
Base = 38 inches
To find:
The height of the tv.
Solution:
Let h be the length of the tv.
According to the Pythagoras theorem,
[tex]hypotenuse^2=base^2+perpendicular^2[/tex]
[tex](42)^2=(38)^2+(h)^2[/tex]
[tex]1764=1444+(h)^2[/tex]
[tex]1764-1444=(h)^2[/tex]
Taking square root on both sides.
[tex]\sqrt{320}=h[/tex]
[tex]\sqrt{64\times 5}=h[/tex]
[tex]8\sqrt{5}=h[/tex]
Therefore, the height of the tv is [tex]8\sqrt{5}[/tex] inches.
