Solve the problem.
-Josef owns a 25-inch TV (that is, its screen measures 25 inches on the diagonal). If the television screen is 20 inches wide across the bottom, then what is its height?
A) 20 in.
B) 45 in.
C) 13 in.
D) 15 in.

Question

Quizplus · Accepted Answer

Using the Pythagorean theorem, we can solve for the height (h) of the TV:

(diagonal)^2 = (width)^2 + (height)^2
25^2 = 20^2 + h^2
625 = 400 + h^2
h^2 = 225
h = 15

Therefore, the height of the TV is 15 inches, which is given by choice D. We can use the Pythagorean theorem to solve this problem.
Let h be the height of the TV screen.
Then we have:
h^2 + 20^2 = 25^2
h^2 + 400 = 625
h^2 = 225
h = 15
Therefore, the height of the TV screen is 15 inches. Choice D is the correct answer.

Solve the Problem. -Josef Owns a 25-Inch TV (That Is, Its Screen Measures