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How many isosceles triangles with whole-number length sides have a perimeter of 30 units?

 Jul 6, 2021
 #1
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Let  x =  the  equal sides  and  y  =  the remaining side

We  have  the  feasible region defined  by

2x + y  =  30

2x  >  y

x + y > x

 

See  the  graph here :  https://www.desmos.com/calculator/brjqinmutc

 

6 triangles

8 - 8 - 14

9 - 9 - 12

11 - 11  - 8

12 - 12 - 6

13 - 13 - 4

14 - 14 - 2

 

cool cool cool

 Jul 6, 2021

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