document.write( "Question 1101047: sophie drew a triangle and reported the lengths is 3 inches, 10 inches and 9 inches can these three numbers represent the measures of the sides of a triangle? show how you determined the answer to the question? \n" ); document.write( "
Algebra.Com's Answer #715637 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "a = 3, b = 10, and c = 9 are the three sides of the triangle.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A triangle is only possible if we can add any two sides to have the sum be larger than the third side\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a+b = 3+10 = 13 which is larger than c = 9 \n" ); document.write( "b+c = 10+9 = 19 which is larger than a = 3 \n" ); document.write( "a+c = 3+9 = 12 which is larger than b = 10 \n" ); document.write( "---------------------------------------------- \n" ); document.write( "So we've shown that the three inequalities below are true \n" ); document.write( "a+b > c \n" ); document.write( "b+c > a \n" ); document.write( "a+c > b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Meaning that a triangle is possible with these three measurements. \n" ); document.write( " \n" ); document.write( " |