document.write( "Question 70004: solve the following triangles. given A=35degrees, b=2, c=3 \n" ); document.write( "
Algebra.Com's Answer #49914 by ankor@dixie-net.com(22740)\"\" \"About 
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solve the following triangles. given A=35 degrees, b=2, c=3
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\n" ); document.write( "This would be side/angle/side which can be handled using the law of cosines
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\n" ); document.write( "a^2 = b^2 + c^2 - 2bc*cos(A)
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\n" ); document.write( "a^2 = 2^2 + 3^2 - 2(2*3)*cos(35)
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\n" ); document.write( "a^2 = 4 + 9 - 12*.819
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\n" ); document.write( "a^2 = 13 - 9.83
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\n" ); document.write( "a = Sqrt(3.17)
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\n" ); document.write( "a = 1.78
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\n" ); document.write( "You can use the law of sines to find the other angles:
\n" ); document.write( "\"sin%28A%29%2Fa\" = \"sin%28B%29%2Fb%29\"
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\n" ); document.write( "\"sin%2835%29%2F1.78\" = \"sin%28B%29%2F2%29\"
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\n" ); document.write( "\".574%2F1.78\" = \"sin%28B%29%2F2%29\"
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\n" ); document.write( "1.78*sin(B) = .574 * 2
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\n" ); document.write( "sin(B) = \"1.147%2F1.78\"
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\n" ); document.write( "sin(B) = .644468
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\n" ); document.write( "B = 40.1 ~ 40 degrees
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\n" ); document.write( "Angle C = 180 - 35 - 40 = 105 degrees
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