A triangle is inscribed in a circle of radius 1. The distance between the orthocentre and the circumcentre of the triangle cannot be

Prove that the distance between the circumcenter and the incenter of triangle ABC is sqrt(R^2-2R r)

Prove that the distance between the circumcenter and the incenter of triangle ABC is sqrt(R^2-2R r)

Prove that the distance between the circumcenter and the orthocentre of triangle ABC is Rsqrt(1-8cosAcosBcosC)

In a triangle ABC ,if a=3 , b=4 , c=5 then the distance between its incentre and circumcentre is

ABC is an isosceles triangle inscribed in a circle of radius rdot If A B=A C and h is the altitude from A to B C , then triangle A B C has perimeter P=2(sqrt(2h r-h^2)+sqrt(2h r)) and area A= ____________ and also ("lim")_(h->0)A/(P^3)=______

The vertices of a triangle have integer co- ordinates then the triangle cannot be