Answer:
TV is 3 inches tall.
Step-by-step explanation:
Given: Diagonal length of TV is 5 inch
Width of TV is 4 inches.
Considering TV to be in rectangle shape.
Lets assume the TV height to be "x"
Diagonal form a right angle triangle as shown on picture attached.
∴ using pathagorean theoram to find the height of TV.
[tex]h^{2} = a^{2} + b^{2}[/tex], where h is hypotenous, a is width or adjacent and b is height or opposite side.
∴ [tex]5^{2} = 4^{2} + x^{2}[/tex]
⇒[tex]25= 16+x^{2}[/tex]
subtracting both side by 16
⇒[tex]25-16= x^{2}[/tex]
⇒[tex]x^{2} = 9[/tex]
Taking sqaure root on both side.
Remember, √a²= a
⇒[tex]x= \sqrt{9}[/tex]
∴[tex]x= 3[/tex]
Hence, the height of TV is 3 inches.
