SOLUTION: Measure the distance of the diagonal (corner to corner) of the screen on your computer monitor to the nearest tenth of a centimeter or six tenths of a inch. Measure the height of t

Algebra ->  Pythagorean-theorem -> SOLUTION: Measure the distance of the diagonal (corner to corner) of the screen on your computer monitor to the nearest tenth of a centimeter or six tenths of a inch. Measure the height of t      Log On


   



Question 205196: Measure the distance of the diagonal (corner to corner) of the screen on your computer monitor to the nearest tenth of a centimeter or six tenths of a inch. Measure the height of the screen the vertical as well. Use the pythagorean theorem to find the horizontal. 13in diagonal and 8 in. high? I cannot get this. Ty in advance judy
Found 2 solutions by nerdybill, Earlsdon:
Answer by nerdybill(7384) About Me  (Show Source):
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Measure the distance of the diagonal (corner to corner) of the screen on your computer monitor to the nearest tenth of a centimeter or six tenths of a inch. Measure the height of the screen the vertical as well. Use the pythagorean theorem to find the horizontal. 13in diagonal and 8 in. high?
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The "vertical" and the "horizontal" measurements represents the sides while the "diagonal" is the hypotenuse.
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Let h=horizontal
then
h^2 + 8^2 = 13^2
h^2 + 64 = 169
h^2 = 105
h = 10.25 inches (horizontal length)

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Remember the Pythagorean theorem c%5E2+=+a%5E2%2Bb%5E2 that shows the relationship among the three sides of a right triangle, a, b, and c?
C is the hypotenuse (or the diagonal of the computer monitor in this problem) while a and b are the two other sides (horizontal and vertical measurements).
You have measured the diagonal, that's c at 13 inches and you have measured the vertical height, and that's a at 8 inches, so we substitute these (c = 13 and a = 8) into the Pythagorean formula:
c%5E2+=+a%5E2%2Bb%5E2
13%5E2+=+8%5E2%2Bb%5E2
169+=+64%2Bb%5E2 Subtract 64 from both sides of the equation.
105+=+b%5E2 Take the square root of both sides.
sqrt%28105%29+=+sqrt%28b%5E2%29
highlight%28b+=+10.25%29inches, approximately.