SOLUTION: A 37-inch-square TV is on sale at the local electronics store. If 37 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side

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Question 292483: A 37-inch-square TV is on sale at the local electronics store. If 37 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen.
Found 2 solutions by nerdybill, Alan3354:
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A 37-inch-square TV is on sale at the local electronics store. If 37 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen.
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Let x = length of the side of the screen
then
x^2 + x^2 = 37^2
2x^2 = 37^2
2x^2 = 1369
x^2 = 1369/2
x = sqrt(1369/2)
x = 26.163 inches

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A 37-inch-square TV is on sale at the local electronics store. If 37 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen.
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I've never seen a square screen, but
s%5E2+%2B+s%5E2+=+37%5E2
s =~ 26.16 inches
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For modern TV's, the width to height ratio is 16:9. Using that:
a%5E2+%2B+b%5E2+=+37%5E2
But, for modern TV's, the width to height ratio is 16:9. Using that:
%2816u%29%5E2+%2B+%289u%29%5E2+=+1369
337u%5E2+=+1369
u =~ 2.016 inches
width = 16u =~ 32.25 inches
height = 9u =~ 18.14 inches
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Don't buy the square one. Tho the screen area is larger, the format is not compatible.