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One side of a triangle has length 10, and the triangle has integer perimeter. What is the smallest possible perimeter of the triangle?
 

I'm stumped. Can anyone help me with this problem, and tell me how to do it?

 Feb 3, 2019
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The third important property of triangles is the triangle inequality rule, which states: the length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

 

so let 10 = a  

 

10 < b+c         well.... a good integer value for b+c   would be 11

 

10 >  b-c           If we let b be the bigger of the two    10 and 1     would work for b and c respectively  ....or    7 and 4   or 6 and 5    or 6.5  4.5 etc

 

Anyway   10 + 11 = 21

 Feb 3, 2019
edited by Guest  Feb 3, 2019

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