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avatar+482 

The perimeter of a triangle is an integer.  If one side of the triangle is $1$, then what is the smallest possible value of the perimeter?  (Assume that the triangle is non-degenerate.)

 Dec 19, 2023
 #1
avatar+126665 
+1

The smallest perimeter is 3

 

We   could have 

 

a , b ,c

 

Where b = 1

a < 1

c > 1

Where  a + c  = 2   , a > .50 , c < 1.5  

 

For example

a = .75

b = 1

c =1.25

 

cool cool cool

 

.

 Dec 20, 2023
 #2
avatar+25 
0

i would say it couldn't be 2, as one side would be more than 1/2 of the whole perimeter, so it must be 3

 Dec 20, 2023

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