document.write( "Question 832166: If, in triangle ABC, angle B equals 60 degrees and AB > AC then...? \n" ); document.write( "
Algebra.Com's Answer #501884 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Since AB > AC, this means that C > B (a drawing will show that C is opposite to AB and B is opposite to AC)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now plug in B = 60 (given) to go from\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C > B\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "C > 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "which means that C is some angle that is larger than 60 degrees. Keep in mind that C must also be less than 180 - 60 = 120 degrees in order for all three angles to add to 180 degrees.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So we know that C > 60 and C < 120. Put this together to get this restriction on angle C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "60 < C < 120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Which effectively says \"C is some angle between 60 degrees and 120 degrees (excluding both endpoints)\" \n" ); document.write( " |