An isosceles triangle has sides A, B, and C with sides B and C being equal in length. If side A goes from #(2 ,5 )# to #(8 ,1 )# and the triangle's area is #15 #, what are the possible coordinates of the triangle's third corner?
Coordinates of the third vertex is
Area = 15
Slope of line AB is
Equation of line AB is given by
Slope of base
Slope of altitude
Midpoint of base a is
Equation of altitude and passing through point A and having slope 3/2 is
Solving Eqns (1) & (2), we get coordinates of point A.
Coordinates of the third corner A is