Ask Question
25 June, 02:18

In an older television set, the screen height is 0.75 times the screen width.

If a television set measures 20 inches along the diagonal, what is the screen width?

+5
Answers (1)
  1. 25 June, 02:42
    0
    The television set has a rectangular shape. The diagonal of this rectangle along with its width and length together form a right angular triangle.

    This means that we can apply the Pythagorean theorem which states that:

    (diagonal) ^2 = (length) ^2 + (width) ^2

    Let the width be w. We know that the length is 0.75 times the width, this means that: length = 0.75 w

    Substitute in the above equation:

    (20) ^2 = (0.75w) ^2 + (w) ^2

    400 = 0.5625 w^2 + w^2

    400 = 1.5625 w^2

    w^2 = 256

    w = 16

    This means that the width of the screen is 16 in.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “In an older television set, the screen height is 0.75 times the screen width. If a television set measures 20 inches along the diagonal, ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers