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

 Apr 13, 2022
 #1
avatar+2455 
+3

Let's count them: 8-8-14, 9-9-12, 10-10-10 11-11-8, 12-12-6, 13-13-4, 14-14-2

 

In total there are \(\color{brown}\boxed{7}\)

 Apr 13, 2022
edited by BuilderBoi  Apr 13, 2022
 #3
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+1

you forgot 10 10 10      (eqiuilateral triangles are isosceles triangles)

Guest Apr 13, 2022
 #4
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+1

 

Isn't an equilateral triangle also considered isoceles? 

 

If you agree with me that it is, then you can add 10-10-10 to the list.  

.

Guest Apr 13, 2022
 #5
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+1

"An equilateral triangle is a triangle whose sides are all equal. It is a specific kind of isosceles"

Guest Apr 13, 2022
 #6
avatar+2455 
+2

I personally disagree, but I fixed it.

 

Thanks, Guest!

BuilderBoi  Apr 13, 2022
 #2
avatar+578 
+3

See if this helps:

 

https://www.mathsisfun.com/geometry/triangle-inequality-theorem.html

 Apr 13, 2022

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