If in a triangle, `R and r` are the circumradius and inradius respectively, then the `HM` of the exradii of the triangle is

H.M of exradii of a triangle is

Let A B C be a triangle having O and I as its circumcenter and incentre, respectively. If R and r are the circumradius and the inradius, respectively, then prove that (O I)^2=R^2-2R rdot Further show that the triangle B I O is a right angled triangle if and only if b is arithmetic mean of a and c.

Let ABC be a triangle having O and I as its circumcentre and incentre, respectively. If R and r are the circumradius and the inradius respectively, then prove that (IO) 2 =R 2 −2Rr. Further show that the triangle BIO is right angled triangle if and only if b is the arithmetic mean of a and c.

Let ABC be a triangle having O and I as its circumcentre and incentre, respectively. If R and r are the circumradius and the inradius respectively, then prove that (IO) 2 =R 2 −2Rr. Further show that the triangle BIO is right angled triangle if and only if b is the arithmetic mean of a and c.

In a right angled isoceles triangle,the ratio of the circumradius and inradius is

In a right-angled isosceles triangle, the ratio of the circumradius and inradius is

In a right-angled isosceles triangle, the ratio of the circumradius and inradius is

In a right-angled isosceles triangle, the ratio of the circumradius and inradius is