document.write( "Question 1085658: Solve triangle ABC where A = 25 degrees, a = 9cm, and c = 11cm. Include the ambiguous case \n" ); document.write( "
Algebra.Com's Answer #699731 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "given: \"A+=+25\" degrees, \"a+=+9cm\", and \"c+=+11cm\"\r
\n" ); document.write( "\n" ); document.write( "The ambiguous case of the sine law, where two sides and one angle are given.\r
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\n" ); document.write( "\n" ); document.write( "\"a+%2F+sin%28A%29+=+c+%2F+sin%28C%29+\" if \"A+=+25\" degrees,\"+a+=+9cm\", and \"c+=+11cm\", we have\r
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\n" ); document.write( "\n" ); document.write( "\"9cm+%2F+sin%2825%29+=+11cm+%2F+sin%28C%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"9cm%2Asin%28C%29+=+11cm+%2Asin%2825%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28C%29++=+%2811cm%2F9cm%29+%2Asin%2825%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28C%29+=+1.222222222222222+%2A0.42261826+\"\r
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\n" ); document.write( "\n" ); document.write( "\"C+=sin%5E-1%280.51653342888888879497372%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"C+=31.100006692833242512632\"° \r
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\n" ); document.write( "\n" ); document.write( "\"C+=31.1\"° \r
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\n" ); document.write( "\n" ); document.write( "\"B=180-%2825%2B31.1%29=180-56.1=123.9\"\r
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\n" ); document.write( "\n" ); document.write( "\"a+%2F+sin%28A%29+=+b+%2F+sin%28B%29+\"\r
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\n" ); document.write( "\n" ); document.write( "\"b=%28a+%2Asin%28B%29+%29%2F+sin%28A%29++\"\r
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\n" ); document.write( "\n" ); document.write( "\"b=%289cm+%2Asin%28123.9%29+%29%2F+sin%2825%29++\"\r
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\n" ); document.write( "\n" ); document.write( "\"b=%289cm+%2A0.830012+%29%2F+0.42261826++\"\r
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\n" ); document.write( "\n" ); document.write( "\"b=7.470108cm+%2F+0.42261826++\"\r
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\n" ); document.write( "\n" ); document.write( "\"b=17.7cm\"\r
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