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A triangle whose side lengths are whole numbers has one side which measures 25 inches and a perimeter of \(60\) inches. What is the fewest number of inches that can be the length of one of the remaining sides?

 Jun 8, 2022
 #1
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By the Triangle Inequality :

 

25  +  shortest side  > the remaining side

 

If shortest  side =  1      remaining side =  34    not possible

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If shortest side =  5     remaining side =  30      not possible

If shortest side  =   6   remaining side =  29

 

The shortest possible side = 6  inches

 

 

cool cool cool

 Jun 8, 2022

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