SOLUTION: IF 2 sides of a triangle measure 12cm and 7cm, which of the following CANNOT be the Perimeter of the triangle? A. 29cm B.34cm C.37 cm D. 38cm

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Question 308524: IF 2 sides of a triangle measure 12cm and 7cm, which of the following CANNOT be the Perimeter of the triangle?
A. 29cm
B.34cm
C.37 cm
D. 38cm
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
D
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The 3rd side has to be more than 12-7 and less than 12+7

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
IF 2 sides of a triangle measure 12cm and 7cm, which of the following CANNOT be the Perimeter of the triangle?
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Let "x" be the 3rd side of the triangle:
12-7 < x < 12+7
5 < x < 19
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Perimeter = 12 + 7 + x = 19+x
x = perimeter - 19
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If A is true x = 29-19 = 10 which is allowable for "x".
If B is true x = 34-19 = 15 which is allowable for "x".
If C is true x = 37-19 = 18 which is allowable for "x".
If D is true x = 38-19 = 19 which is not allowable for "x".
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Cheers,
Stan H.
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A. 29cm
B.34cm
C.37 cm
D. 38cm