SOLUTION: Line GH has endpoints G(-3,2) and H(3,-2). Find GH to the nearest tenth.

Question 504176: Line GH has endpoints G(-3,2) and H(3,-2). Find GH to the nearest tenth.
Found 2 solutions by stanbon, oberobic:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Line GH has endpoints G(-3,2) and H(3,-2). Find GH to the nearest tenth.
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Assuming you are looking for the length of GH you get:
GH = sqrt[(3--3)^2 + (2--2)^2]
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GH = sqrt[36+16]
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GH = sqrt[52]
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GH = 2sqrt(13) = 7.2 to the nearest tenth.
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Cheers,
Stan H.
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
The line GH from (-3,2) to (3,-2) can be depicted as the hypotenuse of a triangle.
The other corner of the triangle is at (-3,-2).
.
a = vertical from (-3,-2) to (-3,2). It has length 4.
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b = horizontal from (-3,-2) to (3,-2). It has length 6.
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c^2 = 4^2 + 6^2
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c^2 = 16 + 36
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c^2 = 54
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c = sqrt(54)
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sqrt(54) = sqrt(9*6)
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sqrt(9*6) = 3*sqrt(6)
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c is approximately = 7.3485
.
Done.
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