An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(4 ,9 )# to #(1 ,0 )# and the triangle's area is #32 #, what are the possible coordinates of the triangle's third corner?
Equation of line passing through B and slope m is
Equation of line passing through C and slope (-m) is
Solving Eqns (1), (2) we get the coordinates of point A.