Which of the following triangle cases may have one, two, or zero solutions? A. SSA B. ASA C. AAA D. SAA
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The Deep Dive
The SSA (Side-Side-Angle) case is notorious for its ambiguity! Depending on the lengths of the sides and the given angle, it can yield one solution, two solutions, or even none at all. This is often referred to as the "Ambiguous Case" of triangles, where you might find yourself scratching your head over multiple possibilities! On the flip side, if you have an ASA (Angle-Side-Angle) or SAA (Side-Angle-Angle) scenario, you’re in much safer waters! Both configurations will always lead to a unique triangle solution. The AAA (Angle-Angle-Angle) case, however, is just a colossal tease since it merely indicates similarity instead of a definite triangle!