The correct option is C Right-angled triangle
The triangle having two of its sides as equal are isosceles triangles.
And, the triangle having one of its angle as 90o is known as right-angled triangle.
The triangle whose two sides are equal and one of its angles is of 90o is known as right-angled isosceles triangle.
Hence, the above triangle is right angled and isosceles or right-angled isosceles triangle.
So, option (a), (b) and (c) are correct.