Knowing that television sets screen size refers to the diagonal of the screen if a 35 in set also has the width of 28 inches what is the height of this set?
We can use the Pythagorean theorem because you're finding the height of a triangle.
a^2 + b^2 = c^2
a^2 + 28^2 = 35^2
a^2 = 1225 - 784
a^2 = 441
a = ?
Take the square root of 441. If its a decimal round it to the nearest !0ths place.
To determine the height of the television set, you can use the Pythagorean theorem since you have information about the diagonal and the width.
The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the diagonal of the television set is the hypotenuse, and the width and height are the other two sides of the right triangle.
Let's denote the height of the television set as "h" and the width as "w".
According to the information given:
Diagonal = 35 inches
Width = 28 inches
Using the Pythagorean theorem, we can set up the following equation:
Diagonal^2 = Width^2 + Height^2
(35^2) = (28^2) + (h^2)
1225 = 784 + (h^2)
441 = h^2
To solve for "h", we take the square root of both sides:
√441 = √(h^2)
21 = h
Therefore, the height of the television set is 21 inches.