In the middle of two corners.
Yes, every isosceles triangle has at least one line of symmetry, usually drawn down the middle from the top point, down in the middle of the triangle's base.
Circumcenter, this is the center-point of a circle circumscribed around the triangle. If the triangle is obtuse, then this point is outside the triangle and if the triangle is a right triangle, then the point is the midpoint of the hypotenuse.
you draw a line from the middle of an angle to the exact middle of the side exactly across from it. do this for all three angles. they should all meet at the exact center! :
In the middle of the triangle.