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How many isosceles triangles with whole-number length sides have a perimeter of 20 units? Thanks for the help!

 Apr 5, 2019
 #1
avatar+102355 
+2

Let x be one of the equal sides  and y be the remaining side

 

We have this system

 

2x > y

2x + y = 20

 

Look at the graph :  https://www.desmos.com/calculator/rmoylu7ibl

 

It shows that there are 4 such triangles

 

6, 6, 8

7, 7, 6

8, 8, 4

9, 9, 2

 

 

cool cool cool

 Apr 5, 2019
 #2
avatar+93 
0

Thanks CPhill!

 Apr 15, 2019

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