In a right angled `DeltaABC, angleA=90^(@)`. If AC = b, BC = a, AB = c and r and R are respectively radii of incircle and circumcircle of the triangle then prove that 2(r + R) = b + c

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 right angles triangle, prove that r+2R=s.

If I is the incenter of A B Ca n dR_1, R_2,a n dR_3 re, respectively, the radii of the circumcircles of the triangles I B C ,I C Aa n dI A B , then prove that R_1R_2R_3=2r R^2dot

DeltaABC the lengths of sides AC and AB are 12 cm and 5 cm, respectively. If the area of DeltaABC is 30 cm2 and R and r are respectively the radii of circumcircle and incircle of DeltaABC then the value of 2R+r (in cm) is equal to......

If C_1 and C_2 and r_1 and r_2 are respectively the centroids and radii of incircles of two congruent triangles, then which one of the following is correct?

If a DeltaABC is right angled at B, then the diameter of the incircle of the triangle is