In a standard television set, the screen height is 0.75 times the screen width. if a television set measures 34 inches along the diagonal, what is the screen width?

We can solve this by using the  Pythagorean theorem which is below:



Or we can say

w = widht
h = height
d = diagonal measure

With that said, we know the height is .75 times the width so .75w. We also know d = 34, which is our diagonal measure.
w = don't know yet but need to find
h = .75w
d = 34
Now lets plugin the information we know into our equation



Now lets to the math



Combine like terms


Divide both sides of the equal sign by 1.5625


Now take the square root on both sides of the equal sign



So the width is 27.2
We can check this by putting 27.2 back into our original equation