document.write( "Question 201630: In a triagle,the second side is one-third of the first side in length. The third side is 2 meters less than the first side. The perimeter of the triangle is 26 meters. Form an algebraic equation to express this problem. \n" ); document.write( "
Algebra.Com's Answer #151890 by MathTherapy(10810) You can put this solution on YOUR website! \n" ); document.write( "Let the second side be s\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the first side is 3 times the second (same as 2nd side being 1/3 of the first), then first side is 3s\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And, since the third side is 2 meters less than the first side, then its length is 3s – 2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Together, their sum is 26. Therefore, the algebraic equation to express this situation is: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Going further, and solving this equation, we can see that the second side, or s, is 4 meters, the first side, or 3s, is 12 (3*4) meters, and the third side, or 3s - 2, is 10 (3*4-2) meters. Altogether, they add up to 26 (4 + 12 + 10) meters, the perimeter of the triangle. \n" ); document.write( " \n" ); document.write( " |