AAS triangles (Angle-Angle-Side triangles) are similar in some respects to ASA triangles because they involve two congruent angle measurements; however unlike ASA triangles they do not have congruent sides. AAS triangles may exist when two non-right angled angles and one opposite side length can construct a unique triangle with just those given values. For instance, you could have an AAS Triangle where angle “A” measures 70°, angle “B” measures 65° and side C measures 10 cm – these three values would create only one possible shape for your AAS Triangle as these three parameters determine its size and proportions entirely.
Furthermore another defining difference between ASAs & AASs lies within how our knowledge on them affects us mathematically speaking: when dealing with ASAs we can use trigonometric functions like Sine & Cosine Laws due to our knowledge on the lengths & specific measurement’s concerning their respective sides & interior angles – this information allows us make assumptions or work out things like missing Side Lengths etc without necessarily needing additional information such a 3rd matching Side Length value etc…With regards to Angles on the other hand we cannot use Trigonometry here – instead we must rely more heavily upon using Theorem’s such laws as Pythagoras’ theorem in order ascertain answers about missing sides.
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