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How many equilateral triangles in the plane have two vertices in the set {(0, 0), (0, 1), (1, 0), (1, 1)}?

 

~~Thank You, Hypotenuisance

 May 1, 2019
edited by Hypotenuisance  May 1, 2019
 #1
avatar+92 
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So in order to solve this problem, we have to graph out these points:

    .     .

    .     .   

 

We can see that these are now a square, and from this square since all of the sides are equal, we can make 4 equilateral triangles.

 May 1, 2019
 #2
avatar+220 
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Thank You, doorknoob!!

 

~~Hypotenuisance

Hypotenuisance  May 6, 2019
 #3
avatar+92 
-2

No Problem!

 

smiley

doorknoob  May 6, 2019

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