What does it mean to refer to a 20 in tv set or a 25 in set?Such units refer to the diagonal of the screen. A 35 in unit also has a width of 28 in. What is it's height?
Time for the Pythagorean theorem, since we're dealing with a right triangle here.
a^2 + b^2 = c^2
a^2 + 28^2 = 35^2
a^2 + 784 = 1225
a^2 = 1225 - 784
a^2 = 441
a = 21
Thank you Ms. Sue, I can now understand what it was I was looking for. I kept thinking square and not seeing I was actually measuring a right triangle. Thanks again!
You're welcome, Kimmie.
When referring to a TV set size, such as a 20 in or 25 in, it means the diagonal measurement of the screen. This measurement helps to describe the overall size of the TV.
Now, you mentioned that a 35 in TV set also has a width of 28 in. To find its height, we can use a little math.
We can start by using the Pythagorean theorem, which states that the square of the hypotenuse (the diagonal) is equal to the sum of the squares of the other two sides. In this case, the width and height are the two sides of the TV screen.
Let's assume the height is denoted by 'h'. We can set up the equation as follows:
hypotenuse^2 = width^2 + height^2
35^2 = 28^2 + h^2
1225 = 784 + h^2
Next, we can subtract 784 from both sides of the equation:
1225 - 784 = h^2
441 = h^2
Then, we take the square root of both sides to solve for 'h':
√441 = √h^2
21 = h
So, the height of the 35 in TV set is 21 inches.