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ABC is a triangle with no equal sides. A new triangle congruent to ABC is to be placed on the plane such that the new triangle shares exactly two vertices with ABC. At how many different locations can the new triangle be placed?

 Sep 15, 2019
 #1
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Use your imagination!

 

 

If the blue triangle is the original triangle, and the red triangle is the new triangle. Notice how the red is placed where it shares two vertices with.

 

There is no other way to place it or you way change the amount of vertices shared and the triangle's sides are all unequal

 

There is only 3 ways

 Sep 15, 2019

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