+0  
 
0
40
4
avatar

How many noncongruent triangles are there with perimeter equal to 11, and with integer side lengths?

 May 6, 2020
 #1
avatar+1502 
+3

Basically how much congruent triplets of integers adding up to 11.

 

1-5-5

2-5-4

stuff like that

 

As HELPMEE...EEE says, a triangle's smaller two lengths must be greater than the largest.

 

 

 

And you can do the rest!

 

If you don't understand anything feel free to ask.

 May 6, 2020
edited by hugomimihu  May 6, 2020
 #3
avatar+930 
+1

1-4-6 and 1-3-7 are not possible trianlge side lengths.

HELPMEEEEEEEEEEEEE  May 6, 2020
 #2
avatar+930 
+1

The sum of the two smaller legs has to be greater than the largest leg in order for it to be a possible triangle.

*Take note of this when listing out the traingles.

 May 6, 2020
 #4
avatar+1502 
+2

oh yes good point editing post now.

hugomimihu  May 6, 2020

27 Online Users

avatar
avatar
avatar