5. In a triangle ABC, AB=3,AC=5,where B=(2,3) and c=(7,-1)then find the equation of altitude through the vertex A.

 see pics for answer.  in this question

 the side BC  of the triangle  is considered as the line segment joining the centres. and other to sides are radii of two circles as shown in figure. then the altitude is half of the common chord. the equation of chord and altitude will be same.