document.write( "Question 797968: If one side of an equilateral triangle is along the line 12x+5y-26=0 and the opposite vertex is on the line 12x+5y+13=0, what is its area? \n" ); document.write( "
Algebra.Com's Answer #481985 by josgarithmetic(39625)![]() ![]() ![]() You can put this solution on YOUR website! A triangle does not have any opposite vertices. Your description needs more information to restrict the third line in order to find an area. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You have two parallel lines. You can find the distance between these two lines, and this distance will be the altitude or height of an equilateral triangle. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANY segment perpendicular to these lines, and with endpoints on these lines will serve. Let's pick point, (0,26/5) and some line of slope \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The line \n" ); document.write( "WHAT POINT is the intersection of \n" ); document.write( " \n" ); document.write( "Multiply both sides by 60, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "Find the y value: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We then want to use the Distance Formula to find length from (-612/25,-5) and (0,26/5). THAT WILL BE THE HEIGHT OF THE EQUILATERAL TRIANGLE. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Knowing this height, h, you can find the base of the triangle. Can you finish this? \n" ); document.write( " |