document.write( "Question 514766: The perimeter of a triangle is 72. The first side is 10 more than the second side.the third side is half of the first triangle. Find the length of each side. Please help I've done this so many times! \n" ); document.write( "
Algebra.Com's Answer #343557 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! Let x, y and z be the lengths of the three sides (first, second, and third respectively)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y+z = 72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+y+(1/2)x = 72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(y+10)+y+(1/2)(y+10) = 72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y+10+y+(1/2)y+5 = 72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(5/2)y+15=72\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(5/2)y=72-15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(5/2)y=57\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5y=57*2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5y=114\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y=114/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now use this value of y to solve the equations\r \n" ); document.write( "\n" ); document.write( "x = y+10\r \n" ); document.write( "\n" ); document.write( "z = (1/2)x\r \n" ); document.write( "\n" ); document.write( "to find the lengths of the other 2 sides \n" ); document.write( " |