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Unique Triangles Unique Triangles Unique Triangles are triangles that do not have an equivalent. This means there is not another triangle that has the exact dimensions or shape. What are the facts or conditions that you need to know to create a unique triangle? In other words, if two people had the same information is it possible for them to construct two different triangles? IF THE ANSWER IS NO! THEN THE TRIANGLE IS SAID TO BE UNIQUE! Conditions for Unique Triangles ASA two angles must sum to less than 180º SSS AAS two angles must sum to less than 180º SAS two shortest sides are longer than the third side Any set of data that fits these conditions will result in one unique triangle.