SOLUTION: I am having some trouble getting the answer to this problem could someone help me? A 25in T.V. set has a width of 20in, what is the height of the T.V.?

Click here to see ALL problems on Geometry Word Problems

Question 160405: I am having some trouble getting the answer to this problem could someone help me?
A 25in T.V. set has a width of 20in, what is the height of the T.V.?
Found 2 solutions by nerdybill, Earlsdon:
Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
Since the shape of a TV is rectangular, the corners are all 90 deg (right angles). This means we can apply Pythagorean Theorem.
.
Additionally, when the say a "25 in. TV", the 25 inches they are referring to is measured along the diagonal of the TV.
.
Let h = height of TV
then
25^2 = h^2 + 20^2
625 = h^2 + 400
225 = h^2
15 inches = h (height)

Answer by Earlsdon(6294) (Show Source):
You can put this solution on YOUR website!
First, a "25-inch" TV means that the diagonal of the screen measures 25 inches.
Now if you are given the width of the screen as 20 inches, then you have two sides of a right triangle in which the length of base (width) = 20 inches and the length of the hypotenuse (diagonal) = 25 inches.
You can find the length of the third side of this triangle, that's the height of the screen, by using the Pythagorean theorm: where c = 25 inches, a = 20 inches, and b = the height (h) of the screen. Making the appropriate substitutions, we get:

Subtract 400 from both sides.
Now take the square root of both sides.
inches. This is the height of the TV screen.