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How many different isosceles triangles have integer side lengths and perimeter 23?

 Dec 21, 2018
 #1
avatar+94275 
+1

Let  x be the equal sides of the  triangle...let y be the remaining side

 

One way of solving this is with a graph...

 

We have these constraints  

2x + y = 23

And by the Triangle Inequality, we have

2x > y

x + y > x   ⇒  y > 0

 

Look at the graph of the feasible region here :  https://www.desmos.com/calculator/kyzw7wa8v5

 

It shows that there are six such triangles

 

 

cool cool cool

 Dec 21, 2018
edited by CPhill  Dec 21, 2018
 #2
avatar+18 
+2

You're doing great!!!

BaldisBasics  Dec 21, 2018
 #3
avatar+94275 
+1

LOL!!!!....THX>>>>!!!!!

 

 

cool cool cool

CPhill  Dec 21, 2018
 #4
avatar+18 
+2

No problem

BaldisBasics  Dec 21, 2018

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