SOLUTION: The width of a widescreen TV is 10 in. less than its length. The diagonal of the rectangular screen is 10 in. more than the length. Find the length and width of the screen.
How
Algebra.Com
Question 670506: The width of a widescreen TV is 10 in. less than its length. The diagonal of the rectangular screen is 10 in. more than the length. Find the length and width of the screen.
How do I set this up and solve?
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
length =x
width = (x-10 )
diagonal = (x+10)
They form a right triangle.
Apply Pythagoras theorem
(x+10)^2=x^2+ (x-10)^2
x^+20x+100=x^2+x^2-20x+100
2x^2=40x
/x
2x=40
x= 20 the length of the TV
RELATED QUESTIONS
The width of a wide screen TV is 10 in. less than its length. The diagonal of the... (answered by Seutip)
The width of a rectangular TV screen is 5.7 in. more than the height. If the diagonal is... (answered by amarjeeth123)
A "widescreen" TV has an aspect ratio of 16:9. Find the length of a diagonal on a... (answered by Fombitz)
Comparing TVs The screen size of a television is determined by the length of the diagonal (answered by ikleyn)
The width of a rectangular TV screen is 14.5 cm more than the height. If the diagonal is... (answered by ikleyn)
The screen size of a television is determined by the length of the diagonal of the... (answered by math_tutor2020)
Television screens are usually measured by the length of its
diagonal. The television... (answered by josgarithmetic)
The length of a new tv screen is 14 in larger than the width and the diagonal is 26... (answered by ewatrrr)
The size of a flat screen television indicates the length of the diagonal of the screen.... (answered by Alan3354)