document.write( "Question 1086304: the coordinates of the two vertices of a triangle are (6,-1) and (-3,7). find the coordinates of the third vertex so that the centroid of the triangle will be at the origin \n" ); document.write( "
Algebra.Com's Answer #700470 by ikleyn(52806)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let the coordinates of the third vertex be (x,y).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then the equations for x an y are\r\n" ); document.write( "\r\n" ); document.write( "6 + (-3) + x = 0,\r\n" ); document.write( "\r\n" ); document.write( "(-1) + 7 + y = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Which gives x = -3, y = -6.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "On centroid of a triangle see the lesson\r \n" ); document.write( "\n" ); document.write( " - The Centroid of a triangle is the Intersection point of its medians \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |