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A triangle whose side lengths are whole numbers has one side which measures 25 inches and another side of 80 inches. What is the fewest number of inches that can be the length of one of the remaining sides?

 Jun 14, 2022
 #1
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By the triangle inequality  either

 

80  + 25  >  x               or          25  +  x    >  80

105 > x                                          x  >   80  - 25

x < 105                                          x >   55

 

Then  the remaining side's shortest length   =   56  inches

 

cool cool cool

 Jun 14, 2022

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