document.write( "Question 919179: Two sides an angle of a triangle are given, determine whether the given measurements produce one triangle, two triangles or no triangle at all.\r
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\n" ); document.write( "\n" ); document.write( "(Im very stuck on this problem and the choices they give us is like B = what or C = and also C1 and B1 etc.\r
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Algebra.Com's Answer #557566 by MathTherapy(10556)\"\" \"About 
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Two sides an angle of a triangle are given, determine whether the given measurements produce one triangle, two triangles or no triangle at all.\r
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document.write( "Use the law of sines to determine how many possible triangles there are
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document.write( "\"%28sin+A%29%2Fa+=+%28sin+B%29%2Fb\"
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document.write( "\"sin+30%2F10+=+sin+B%2F9\"
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document.write( "10 sin B = 9 sin 30 -------- Cross-multiplying
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document.write( "\"sin+B+=+%289+sin+30%29%2F10\"
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document.write( "\"sin+B+=+26.74\" ≈ \"27%5Eo\"\r
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document.write( "Therefore, angles are: A: \"30%5Eo\", B: \"27%5Eo\", and C: \"123%5Eo\" (180 – 30 - 27, or 180 - 57)
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document.write( "Now, since sin ∠B is: \"27%5Eo\", another possible measure of ∠B is its reference angle: \"153%5Eo\", in the 2nd quadrant.\r
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document.write( "However, ∠B CANNOT possibly be \"153%5Eo\" since that would result in ∠B (\"153%5Eo\") + ∠A (\"30%5Eo\") being equal to \"183%5Eo\",
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document.write( "which is > \"180%5Eo\".
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document.write( "Thus, ONLY ONE (1) triangle can be formed with the given measurements \n" );
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