In a triangle ABC, prove that `r^2+r_1^2+r_2^2+r_3^2=16R^2-a^2-b^2-c^2.`

In a triangle ABC prove that r_1r_2r_3=r^3 cot^2 (A/2). cot^2 (B/2).cot^2(C/2)

In a triangle ABC,if 1/r_1^2+1/r_2^2+1/r_3^2+1/r^2=

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

In a triangle ABC prove that a(rr_1+r_2r_3)=b(rr_2+r_3r_1)=c(rr_3+r_1r_2)=abc

In a triangle ABC , if 2R + r = r_(1) , then

Prove that (r_1-r)(r_2-r)(r_3-r)=4R r^2

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

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

Prove that r_(1)^(2)+r_(2)^(2) +r_(3)^(3) +r^(2) =16R^(2) -a^(2) -b^(2) -c^(2). where r= in radius, R = circumradius,, r_(1), r_(2), r_(3) are ex-radii.

In a triangleABC , if 1/r^(2) + 1/r_(1)^(2) + 1/r_(2)^(2) + 1/r_(3)^(2) = (a^(2) + b^(2) + c^(2))/(Delta^(n)) , then n is equal to ………..