document.write( "Question 509927: Given any three positive real numbers, a, b, and c, with b less than 180 and c less than 180, can you construct a triangle having two interior angles whose measures are b and c, respectively, and the included side having measure a? Illustrate \n" ); document.write( "
Algebra.Com's Answer #341661 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Not necessarily, because if b = c = 179°, then both requirements \r\n" ); document.write( "b < 180° and c < 180° are met. However, b and c cannot be measures \r\n" ); document.write( "of 2 interior angles of a triangle because just those two angles \r\n" ); document.write( "alone have sum of measures 358°, and the sum of the measures of all \r\n" ); document.write( "three interior angles of a triangle must have sum of only 180°. Two\r\n" ); document.write( "of them can't have sum of measures 358° and yet all three have sum of\r\n" ); document.write( "only 180°. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |