It is known that a (2,0), B (0,2), the point C in the isosceles triangle ABC is on the X axis, then there are several points of C

It is known that a (2,0), B (0,2), the point C in the isosceles triangle ABC is on the X axis, then there are several points of C

There are four solutions
The vertex of C is C (0,0)
C (- 2,0) with B as vertex
C (2 + 2 √ 2,0) and C (2-2 √ 2,0) with a as vertex