document.write( "Question 1204286: Assume 𝛼 is opposite side a, 𝛽 is opposite side b, and 𝛾 is opposite side c. Solve the triangle, if possible. Round your answers to the nearest tenth. (If not possible, enter IMPOSSIBLE.)
\n" ); document.write( "𝛼 = 36°, 𝛾 = 62°, a = 20 \n" ); document.write( "
Algebra.Com's Answer #840534 by MathTherapy(10556)\"\" \"About 
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document.write( "Assume 𝛼 is opposite side a, 𝛽 is opposite side b, and 𝛾 is opposite side c. Solve the triangle, if possible. Round your answers to the nearest tenth. (If not possible, enter IMPOSSIBLE.)\r\n" );
document.write( "𝛼 = 36°, 𝛾 = 62°, a = 20\r\n" );
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document.write( "With 𝛼, or ∡A being 36°, 𝛾, or ∡C being 62°, then 𝛽, or ∡B = 82° [180° - (36° + 62°)]\r\n" );
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document.write( "Using the Law of sines, we get: \r\n" );
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document.write( "Finding side b (opposite 𝛽), we get: \"matrix%281%2C3%2C+sin+%2836%5Eo%29%2F20%2C+%22=%22%2C+sin+%2882%5Eo%29%2Fb%29\"\r\n" );
document.write( "                                 b * sin (36o) = 20 * sin (82o) ---- Cross-multiplying\r\n" );
document.write( "                                     Side \r\n" );
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document.write( "Finding side c (opposite 𝛾), we get: \"matrix%281%2C3%2C+sin+%2836%5Eo%29%2F20%2C+%22=%22%2C+sin+%2862%5Eo%29%2Fc%29\"\r\n" );
document.write( "                                 c * sin (36o) = 20 * sin (62o) ---- Cross-multiplying\r\n" );
document.write( "                                     Side \r\n" );
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document.write( "Only when 2 sides and one angle are given (SSA or ASS: The famous/infamous DONKEY THEOREM), does the AMBIGUOUS case come into effect. The AMBIGUOUS case involves determining whether ONE or TWO triangles can be formed, based on the given \r\n" );
document.write( "information. However, when 2 angles and one side are given (AAS or ASA) - as in THIS CASE - then ONLY ONE (1) triangle\r\n" );
document.write( "can be formed.
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