document.write( "Question 495937: Please help me to solve this word problem. (Solving Word Problems Involving Rational Algebraic Equation)
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document.write( " One side of the triangle is 2cm longer than the second side. The third is 3/5 as long as the first side. If the perimeter of the triangle is 24cm, Find the lengths of the three sides. \n" );
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Algebra.Com's Answer #336390 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! One side of the triangle is 2cm longer than the second side. \n" ); document.write( " The third is 3/5 as long as the first side. \n" ); document.write( "If the perimeter of the triangle is 24cm, \n" ); document.write( "Find the lengths of the three sides. \n" ); document.write( ": \n" ); document.write( "Write an equation designating the three sides as a, b, c \n" ); document.write( ": \n" ); document.write( "\"One side of the triangle is 2cm longer than the second side.\" \n" ); document.write( "a = b+2 \n" ); document.write( "rearrange to get b in terms of a \n" ); document.write( "b = a-2 \n" ); document.write( ": \n" ); document.write( "\"The third is 3/5 as long as the first side.\" \n" ); document.write( "c = \n" ); document.write( ": \n" ); document.write( "\"If the perimeter of the triangle is 24cm,\" \n" ); document.write( "a + b + c = 24 \n" ); document.write( "Replace b and c, using the above equations \n" ); document.write( "a + (a-2) + \n" ); document.write( "a + a + \n" ); document.write( "2a + \n" ); document.write( "multiply by 5 to get rid of that annoying fraction, results \n" ); document.write( "5(2a) + 3a = 5(26) \n" ); document.write( "10a + 3a = 130 \n" ); document.write( "13a = 130 \n" ); document.write( "a = 10 \n" ); document.write( "then \n" ); document.write( "b = 10 - 2 \n" ); document.write( "b = 8 \n" ); document.write( "and \n" ); document.write( "c = \n" ); document.write( "c = 6 \n" ); document.write( ": \n" ); document.write( "See if that adds up\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |