document.write( "Question 1197936: If the sides of an ABC triangle are, a=5,b=6, and c=7, what is the value of angle C? \n" ); document.write( "
Algebra.Com's Answer #831397 by math_tutor2020(3816)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Law of Cosines \n" ); document.write( "c^2 = a^2+b^2 - 2ab*cos(C) \n" ); document.write( "7^2 = 5^2+6^2 - 2*5*6*cos(C) \n" ); document.write( "49 = 61 - 60*cos(C) \n" ); document.write( "cos(C) = (49-61)/(-60) \n" ); document.write( "cos(C) = 0.2 \n" ); document.write( "C = arccos(0.2) \n" ); document.write( "C = 78.4630409671846\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer: Angle C is approximately 78.463 degrees \n" ); document.write( " \n" ); document.write( " |