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 I is the incentre and I _1,I _2,I _3 are the centre of escribed circles of the triangleABC . Prove that II_1.II_2.II_3 = 16 R^2r .

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

If I_(1), I_(2), I_(3) are the centers of escribed circles of Delta ABC , show that the area of Delta I_(1) I_(2) I_(3) is (abc)/(2r)

Prove that r_1+r_2+r_3-r=4R

Prove that r_1+r_2+r_3-r=4R

Prove that (r_(1+r_2))/1=2R

If I is the incenter of Delta ABC and R_(1), R_(2), and R_(3) are, respectively, the radii of the circumcircle of the triangle IBC, ICA, and IAB, then prove that R_(1) R_(2) R_(3) = 2r R^(2)

In a triangle ABC I_1, I_2,I_3 are excentre of triangle then show that II_(1). II_(2). II_(3)=16R^(2)r.

If A,A_1,A_2 and A_3 are the areas of the inscribed and escribed circles of a triangle, prove that 1/sqrtA=1/sqrt(A_1)+1/sqrt(A_2)+1/sqrt(A_3)

Prove that : 1/(r_1)+1/(r_2)+1/(r_3)=1/r