document.write( "Question 684448: Solve the triangle using the given information.
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document.write( "a=7cm
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document.write( "b=4cm
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document.write( "c=5cm
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document.write( "How do I find the angles? Law of cosines?
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document.write( "Please provide all steps. \n" );
document.write( "
Algebra.Com's Answer #424099 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! a^2 = b^2 + c^2 - 2*b*c*cos(A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "49 = 4^2 + 5^2 - 2*4*5*cos(A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "49 = 16 + 25 - 40*cos(A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "49 = 41 - 40*cos(A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "49 - 41 = -40*cos(A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8 = -40*cos(A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8/(-40) = cos(A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-1/5 = cos(A)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "cos(A) = -1/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = arccos(-1/5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A = 101.536959\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the angle A is roughly 101.536959 degrees.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I'll let you find angles B and C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |