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In the triangle shown, what is the positive difference between the greatest and least possible integral values of $x$?
 

Two of the sides are 14 and 19.

 May 14, 2024
 #1
avatar+129245 
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14 + 19 > x             14 + x >  19

 

33 >  x                       x >  19 - 14

 

x = 32                        x >  5   →  x = 6

 

32 - 6 =   26

 

cool cool cool

 May 14, 2024

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