document.write( "Question 751493: Two vertices of a triangle are two vertex of trinagle are (1,-5) and (5,1) The medians intersect at (1,-1).Find the third vertex of the triangle. \n" ); document.write( "
Algebra.Com's Answer #457248 by dkppathak(439)![]() ![]() You can put this solution on YOUR website! two vertex of triangle are (1,-5) and (5,1) median intersect at (1, -1) \n" ); document.write( "let third vertex of triangle is (x,y) \n" ); document.write( "mid point side (1,-5) and (5,1) where median meet is 5+1/2=3 and -5+1/2=-2 \n" ); document.write( "medians of triangle intersect at the ratio of 2:1 \n" ); document.write( "by using section formula \n" ); document.write( "we can say 1= 2 multiplied 3+x/3 \n" ); document.write( " 3=6+x \n" ); document.write( "x=-3 \n" ); document.write( "similarly \n" ); document.write( "-1=-2 multiplied -2+y/3 \n" ); document.write( "-3=-4+y \n" ); document.write( "y=1 \n" ); document.write( " third vertex will be (-3,1) \n" ); document.write( "answer (-3,1)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |