document.write( "Question 317513: The base of a triangle is one-third as long as its height. If the area of the triangle is 24 square meters how long is its base? \n" ); document.write( "
Algebra.Com's Answer #227365 by nyc_function(2741)![]() ![]() You can put this solution on YOUR website! base = (1/3)x\r \n" ); document.write( "\n" ); document.write( "height = x\r \n" ); document.write( "\n" ); document.write( "area = 24\r \n" ); document.write( "\n" ); document.write( "Formula needed is A = 1/2 times base times height.\r \n" ); document.write( "\n" ); document.write( "24 = (1/2)(1/3)(x) times (x)\r \n" ); document.write( "\n" ); document.write( "24 = (x/6) (x)\r \n" ); document.write( "\n" ); document.write( "24 = x^2/6\r \n" ); document.write( "\n" ); document.write( "24*6 = (x^2/6)*6\r \n" ); document.write( "\n" ); document.write( "144 = x^2\r \n" ); document.write( "\n" ); document.write( "sqrt{144} = sqrt{x^2}\r \n" ); document.write( "\n" ); document.write( "12 = x\r \n" ); document.write( "\n" ); document.write( "The height is 12 meters.\r \n" ); document.write( "\n" ); document.write( "The base is 1/3 of 12 or 4 meters.\r \n" ); document.write( "\n" ); document.write( "Done! \n" ); document.write( " |