+0  
 
0
1
1
avatar+388 

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.)

 Jun 5, 2024

Best Answer 

 #1
avatar+759 
+1

The smallest possible perimeter is 3. 

 

Let's say that b is 1. 

 

We would have

\(a < 1 \\ c > 1\)

 

where 

\( a + c = 2 \\ a > .50 \\ c < 1.5 \)

 

An example would be

\(a = .75\\ b = 1\\ c =1.25\)

 

Thanks! :)

 Jun 5, 2024
 #1
avatar+759 
+1
Best Answer

The smallest possible perimeter is 3. 

 

Let's say that b is 1. 

 

We would have

\(a < 1 \\ c > 1\)

 

where 

\( a + c = 2 \\ a > .50 \\ c < 1.5 \)

 

An example would be

\(a = .75\\ b = 1\\ c =1.25\)

 

Thanks! :)

NotThatSmart Jun 5, 2024

4 Online Users

avatar
avatar