SOLUTION: A 31-inch square TV is on sale at the local electronics store. If 31 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 106785: A 31-inch square TV is on sale at the local electronics store. If 31 inches is the measure of the diagonal of the screen, use the Pythagorean theorem to find the length of the side of the screen.
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
You do not have sufficient information given in the problem. There are many solutions that are possible. Also, you say the TV is square, but we know that TVs are not square. So, something is amiss.
Anyway, based on what you've said, we know from the Pythagorean formula that:
d%5E2+=+h%5E2+%2B+w%5E2, where d = diagonal, h=height, w = width.
If the TV were square, then the height and the width are the same, so,
31%5E2+=+h%5E2+%2B+h%5E2+=+w%5E2+%2B+w%5E2
961+=+2h%5E2
Dividing by 2
961%2F2=x%5E2
480.5=x%5E2
Taking the sqrt of both sides:
21.920=x