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The sides of a triangle are 7, 12, and x.  What are all possible values of x?

 Aug 14, 2021
 #1
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Using the triangle inequality, x must be bigger than 7 + 12, so x > 19

 Aug 15, 2021
 #2
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7+12>x

x+12>7

x+7>12

=>...

 

x>5

x<19

(5,19)

 Aug 15, 2021
 #3
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Assuming that x is an integer, values of x are 6 through 18

 Aug 15, 2021

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