SOLUTION: Television sets: What does it mean to refer to a 20-in tv set or a 25in tv set? such units refer to the diagonal of the screen. A 25-in tv set also has a width of 20 inches. What i

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Television sets: What does it mean to refer to a 20-in tv set or a 25in tv set? such units refer to the diagonal of the screen. A 25-in tv set also has a width of 20 inches. What i      Log On


   



Question 375791: Television sets: What does it mean to refer to a 20-in tv set or a 25in tv set? such units refer to the diagonal of the screen. A 25-in tv set also has a width of 20 inches. What is its height?
What is the height of a 25-in tv? _________inches.
Please help

Answer by jessica43(140) About Me  (Show Source):
You can put this solution on YOUR website!
So a 25-in TV set has a diagonal length of 25 inches and a width of 20 inches. If you draw a picture of this, you will see that we know two sides of a right triangle, and need to find the length of the third side. To do this, we can use the Pythagorean Theorem: a^2 + b^2 = c^2, where a = width of TV, b = height of TV and c = diagonal length.
So:
a^2 + b^2 = c^2
20^2 + b^2 = 25^2
400 + b^2 = 625
b^2 = 225
b = 15
So the height of the TV is 15 inches.