Question

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.

Answer 1

The size of TV is approximately 20 inches

Explanation:

See the attached figure

Answer 2

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:

`a^(2) =b^(2)+c^(2)`

`a=diagonal\\b=lenght\\c=height`

`diagonal=\sqrt{lenght^(2) + height^(2)}=\sqrt{17.1^(2) + 10.4^(2)}\\diagonal=√(292.41 + 106.16)=√(400.57)=20.01inches=20inches`

So, the TV size is 20 inches.

Have a nice day!