Circumcenter of a right angled triangle lies outside the triangle.
False
Let △ABC be right angled at B. Circumcircle is a circle which passes through all three vertices A,B,C of a
triangle
For a right angled triangle circumcenter lies on the hypotenuse and it is mid point of the hypotenuse.
Let D be the circumcenter of the right angled triangle ABC
where
AD=BD=CD
D is the midpoint of the hypotenuse AC
Circumcenter of a right angled triangle lies on the triangle
So,given statement is false.