SOLUTION: A flat screen TV is 12 inches wider than it is tall. If the diagonal of the TV is 60 inches, find the dimensions of the TV. Label the picture, setup an equation and solve. Show ste

Question 1010446: A flat screen TV is 12 inches wider than it is tall. If the diagonal of the TV is 60 inches, find the dimensions of the TV. Label the picture, setup an equation and solve. Show step by step.
The picture is a horizontal rectangle with a diagonal line going from the top right corner to the bottom left corner.
Thanks in advance!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A flat screen TV is 12 inches wider than it is tall. If the diagonal of the TV is 60 inches, find the dimensions of the TV. Label the picture, setup an equation and solve. Show step by step.
The picture is a horizontal rectangle with a diagonal line going from the top right corner to the bottom left corner.
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Sketch that picture::
width:: x+12 inches
height:: x inches
hypotenuse = 60
x^2 + x^2 + 24x + 144 = 60^2
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2x^2 + 24x - 3456 = 0
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x^2 + 12x - 1728 = 0
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x = 36 (height)
x+12 = 48 (width)
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Cheers,
Stan H.
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