document.write( "Question 1088317: Right triangle ABC has a right angle at C and hypotenuse length 12. Angle A is pi/6 radians. Please sketch this triangle, including the measures of all angles in degrees and the lengths of all sides. the lengths of all sides must be EXACT!
\n" ); document.write( "I have this so far c=12
\n" ); document.write( "pi/6 radians= pi/6(180/pi) = 30 degrees
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Algebra.Com's Answer #702572 by Fombitz(32388)\"\" \"About 
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\n" ); document.write( "\"A%2BB%2BC=2pi\"
\n" ); document.write( "\"pi%2F6%2BB%2Bpi%2F2=pi\"
\n" ); document.write( "\"B=pi%281-1%2F6-1%2F2%29\"
\n" ); document.write( "\"B=pi%286%2F6-1%2F6-3%2F6%29\"
\n" ); document.write( "\"B=pi%282%2F6%29\"
\n" ); document.write( "\"B=pi%2F3\"
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\n" ); document.write( "Using the law of sines,
\n" ); document.write( "\"sin%28A%29%2Fa=sin%28B%29%2Fb=sin%28C%29%2Fc\"
\n" ); document.write( "So then,
\n" ); document.write( "\"sin%28pi%2F2%29%2F12=sin%28pi%2F6%29%2Fa\"
\n" ); document.write( "Solve for a.
\n" ); document.write( "\"sin%28pi%2F2%29%2F12=sin%28pi%2F3%29%2Fb\"
\n" ); document.write( "Solve for b.
\n" ); document.write( "Or use the Pythagorean theorem,
\n" ); document.write( "\"c%5E2=a%5E2%2Bb%5E2\"
\n" ); document.write( "\"b%5E2=144-a%5E2\"
\n" ); document.write( "\"b=sqrt%28144-a%5E2%29\"
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