document.write( "Question 1037821: Sketch a picture and solve the triangle (find all side
\n" ); document.write( "lengths and angle measures to the nearest tenth) using Law
\n" ); document.write( "of Cosines and/or Law of Sines. Show all your work. (hint:
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\n" ); document.write( "∆ABC with m∠A = 38 and AB = 6.3 and BC = 4.2 \n" ); document.write( "

Algebra.Com's Answer #652464 by Edwin McCravy(20065) $\"\"$ $\"About$

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∆ABC with m∠A = 38° and AB = 6.3 and BC = 4.2
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document.write( "Using law of sines:\r\n" );
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document.write( "∠C is an acute (QI) angle and ∠AC'B is an \r\n" );
document.write( "obtuse (QII) angle.  They have the same sine and are\r\n" );
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document.write( "Using the inverse sine feature of our calculator,\r\n" );
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document.write( "∠C = 67.44208077°\r\n" );
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document.write( "so ∠AC'B = 180°-67.44208077° = 112.5579192°\r\n" );
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document.write( "To find side AC and AC', we use the law of cosines:\r\n" );
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document.write( "Swap sides:\r\n" );
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document.write( "Rearrange terms and a factor with 0 on the right:\r\n" );
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document.write( "Use the quadratic formula\r\n" );
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document.write( "Using the + gives us AC = 6.575659859\r\n" );
document.write( "Using the - gives us AC' = 3.353275637\r\n" );
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document.write( "We can find ∠ABC and ∠ABC' by adding the \r\n" );
document.write( "two angles we now know and subtracting from 180°.\r\n" );
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document.write( "You can finish that part.\r\n" );
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document.write( "Edwin

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