If 1 is the incentre and `1_1,1_2,1_3` are the centre of escribed circles of the `triangleABC`. Prove that
`II_1,II_2,III_3 = 16 R^2r`.

If 1 is the incentre and I_1,I_2,I_3 are the centre of escribed circles of the triangleABC . Prove that II_(1)^(2)+I_2I_(3)^(2)= II_(2)^(2)+I_(3)I_(1)^(2)= I_(1)I_(2)^(2)+II_(3)^(2)

If I_1, I_2, I_3 are the centers of escribed circles of A B C , show that are of I_1I_2I_3=(a b c)/(2r)dot

Prove that r_(1)+r_(2)+r_(3)-r=4R

Prove that r_(1)+r_(2)+r_(3)-r=4R

If I_(1),I_(2),I_(3) and I are the excenter and incentres of Delta ABC respectively,then (II_(1))).(II_(2))*(II_(3))=

If A,A_(1),A_(2) and A_(3) are the areas of the inscribed and escribed circles of a triangle, prove that (1)/(sqrt(A))=(1)/(sqrt(A_(1)))+(1)/(sqrt(A_(2)))+(1)/(sqrt(A_(3)))