document.write( "Question 309771: In an triangle ABC, BC > AB and AC < AB. Which of the statement is always true?
\n" );
document.write( "
\n" );
document.write( "(1) angle A > angle B > angle C
\n" );
document.write( "(2) angle A > angle C > angle B
\n" );
document.write( "(3) angle B > angle A > angle C
\n" );
document.write( "(4) angle C > angle B > angle A
\n" );
document.write( "(5) angle C > angle A > angle B
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #221573 by Theo(13342)![]() ![]() You can put this solution on YOUR website! BC > AB \n" ); document.write( "AC < AB.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If AC < AB, this means that AB > AC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The two statement can therefore be equivalent to:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BC > AB \n" ); document.write( "AB > AC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "These two statements then become equivalent to the following one statement:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "BC > AB > AC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In a triangle, if one side is greater than the other side, than the angle opposite the one side is also greater than the angle opposite the other side.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "angle A is opposite BC \n" ); document.write( "angle C is opposite AB \n" ); document.write( "angle B is opposite AC\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then this means that:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "angle A > angle C > angle B\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That would be selection (2). \n" ); document.write( " |