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Each point in the hexagonal lattice shown is one unit from its nearest neighbor. How many equilateral triangles have all three vertices in the lattice?

 

 Feb 12, 2021

Best Answer 

 #1
avatar+2407 
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Hi Guest!

 

Sadly, there isn't much to do other than count them one by one.

There are 9 one unit triangles. 

There are 3 two unit triangles. 

There are 1 three unit triangles. 

9 + 3 + 1 = 13

 

I hope this helped. :))

=^._.^=

 Feb 12, 2021
 #1
avatar+2407 
-1
Best Answer

Hi Guest!

 

Sadly, there isn't much to do other than count them one by one.

There are 9 one unit triangles. 

There are 3 two unit triangles. 

There are 1 three unit triangles. 

9 + 3 + 1 = 13

 

I hope this helped. :))

=^._.^=

catmg Feb 12, 2021

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