document.write( "Question 621829: How many distinct triangles can be formed if a=12, b=9, and angle A= 38degrees? please add detail on how to find the correct answer! \n" ); document.write( "
Algebra.Com's Answer #391017 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "This is the AMBIGUOUS case SSA, (side-side-angle)\r\n" );
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document.write( "Rules about the number of solutions.\r\n" );
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document.write( "1.  If the two given sides are equal in measure, the triangle is isosceles,\r\n" );
document.write( "and the other two equal angles can easily be found and we have a case of\r\n" );
document.write( "ASA. \r\n" );
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document.write( "2. If the given side which is opposite the given angle is greater \r\n" );
document.write( "than the other given side, there is one solution.\r\n" );
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document.write( "3.  If the given side which is opposite the given angle is shorter \r\n" );
document.write( "than the other given side, then we calculate the product of the longer \r\n" );
document.write( "given side times the cosine of the given angle.  If the shorter given \r\n" );
document.write( "side is shorter than this number, then the shorter given side is too \r\n" );
document.write( "short to form a triangle and there is no solution.  Otherwise there are\r\n" );
document.write( "two solutions.\r\n" );
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document.write( "Your problem is a=12, b=9, and angle A = 38°.\r\n" );
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document.write( "That's case 2.  The given side which is opposite the given angle A is a=12,\r\n" );
document.write( "which is greater than the other given side, b=9 so there is one solution.\r\n" );
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document.write( "Edwin
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