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

 May 2, 2021
 #1
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if x and y were the side lengths, then, \(2x+y=30\)


Here are all the lengths but we'll take out the ones that don't satisfy the triangle inequality:

1,1,28

2,2,26

3,3,24

4,4,22

5,5,20

6,6,18

7,7,16

8,8,14

9,9,12

10,10,10

11,11,8

12,12,6

13,13,4

14,14,2

Final answers:

8,8,14

9,9,12

10,10,10

11,11,8

12,12,6

13,13,4

14,14,2

 

 7 of them

 May 3, 2021

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