TVs are sized based on the length of their diagonal
The following TV has a length of 17.1 inches and a height of 10.4 inches.


What is the TV size?

The TV size is __________ inches.

Respuesta :

Hello!

The answer is: The TV size is 20 inches.

Why?

Since we are looking for the diagonal and we have the dimensions of a rectangle (length and base), we must use the Pythagorean Theorem to find the length of the diagonal.

The Pythagorean Theorem states that:

[tex]a^{2} =b^{2}+c^{2}[/tex]

[tex]a=diagonal\\b=lenght\\c=height[/tex]

[tex]diagonal=\sqrt{lenght^{2} + height^{2}}=\sqrt{17.1^{2} + 10.4^{2}}\\diagonal=\sqrt{292.41 + 106.16}=\sqrt{400.57}=20.01inches=20inches[/tex]

So, the TV size is 20 inches.

Have a nice day!

Answer:

The size of TV is approximately 20 inches

Step-by-step explanation:

See the attached figure

Ver imagen zainebamir540