SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 cm and a second side that is 3 cm less than twice t

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Question 1066315: The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 cm and a second side that is 3 cm less than twice the third side, what are the possible lengths for the second and third sides?
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 cm and a second side that is 3 cm less than twice the third side, what are the possible lengths for the second and third sides?
1st side:: 21 cm
2nd side: 2x-3 cm
3rd side: x
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Equations because sum of 2 sides must be greater that remaining side:
2x-3+21 > x
3x-3+x > 21
x+21 > 2x-3
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Modify::
x+18 > 0
4x > 24
x < 24
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3rd side:: 6 < x < 24
2nd side:: 9< 2x-3 < 45
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 21 cm and a second side that is 3 cm less than twice the third side, what are the possible lengths for the second and third sides?
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