The equation of the side AB and AC of a triangle ABC are `3x+4y+9` and `4x-3y+16=0` respectively. The third side passes through the point `D(5, 2)` such that `BD:DC=4:5`. Find the equation of the third side.

The equations of the sides AB, BC and CA of a triangle ABC are x-2=0, y+1=0 and x + 2y - 4=0 respectively. What is the equation of the altitude through B on AC?

Three sides AB,AC and CA of triangle ABC are 5x-3y+2=0,x-3y-2=0 and x+y-6=0 respectively.Find the equation of the altitude through the vertex A.

Two sides of an isosceles triangle are given by the equations 7x-y+3=0 and x+y-3=0 and its third side passes through the point (1,-1)dot Determine the equation of the third side.

Two sides of an isosceles triangle are given by the equations 7x-y+3=0 and x+y-3=0 and its third side passes through the point (1,-10)dot Determine the equation of the third side.

Two sides of an isoceles triangle are given by the equations 7x-y+3=0andx+y-3=0 and its third side passes through the point (1,-10) . Determine the equation of the third side.

The equations of two sides of a triangle are 3y-x-2=0 and y+x-2=0. The third side,which is variable,always passes through the point (5,-1). Find the range of the values of the slope of the third side,so that the origin is an interior point of the triangle.