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Are the three angle measures always generate a unique triangle? - Answers

Yes, three angle measures always generate a unique triangle, provided that the angles sum to 180 degrees. This is based on the Angle-Angle-Angle (AAA) similarity postulate, which states that if two triangles have the same angle measures, they are similar. However, the triangles can only be considered unique in the sense of their shape; they can vary in size based on a scale factor. Therefore, while the angles determine the shape, they do not uniquely define a specific triangle in terms of size.



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Are the three angle measures always generate a unique triangle? - Answers

https://math.answers.com/math-and-arithmetic/Are_the_three_angle_measures_always_generate_a_unique_triangle

Yes, three angle measures always generate a unique triangle, provided that the angles sum to 180 degrees. This is based on the Angle-Angle-Angle (AAA) similarity postulate, which states that if two triangles have the same angle measures, they are similar. However, the triangles can only be considered unique in the sense of their shape; they can vary in size based on a scale factor. Therefore, while the angles determine the shape, they do not uniquely define a specific triangle in terms of size.



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https://math.answers.com/math-and-arithmetic/Are_the_three_angle_measures_always_generate_a_unique_triangle

Are the three angle measures always generate a unique triangle? - Answers

Yes, three angle measures always generate a unique triangle, provided that the angles sum to 180 degrees. This is based on the Angle-Angle-Angle (AAA) similarity postulate, which states that if two triangles have the same angle measures, they are similar. However, the triangles can only be considered unique in the sense of their shape; they can vary in size based on a scale factor. Therefore, while the angles determine the shape, they do not uniquely define a specific triangle in terms of size.

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      Yes, three angle measures always generate a unique triangle, provided that the angles sum to 180 degrees. This is based on the Angle-Angle-Angle (AAA) similarity postulate, which states that if two triangles have the same angle measures, they are similar. However, the triangles can only be considered unique in the sense of their shape; they can vary in size based on a scale factor. Therefore, while the angles determine the shape, they do not uniquely define a specific triangle in terms of size.

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