In a standard television set, the screen height is 0.75 times the screen width. If a television set measures 23 inches along the diagonal, what is the screen width?

Question

In a standard television set, the screen height is 0.75 times the screen width.

If a television set measures 23 inches along the diagonal, what is the screen width?

Answer 1

Draw a figure!

H = 3W/4

$W^2+(3W/4{)}^2=23^2$ (The Pythagorean Theorem)

$W^2+(9/16)W^2=529$

$16W^2+9W^2=8464$

$25W^2=8464$

$W^2=338.56$

W = 18.4