` prove that : 1/r^2+1/r_1^2+1/r_2^2+1/r_3^2=(a^2+b^2+c^2)/ /_\^2 `

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.

prove that : triangle ABC, 1/r_1+1/r_2+1/r_3=1/r

Show that 16R^(2)r r_(1) r _(2) r_(3)=a^(2) b ^(2) c ^(2)

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 ………..

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.

Value of 1/(r_(1)^2)+ 1/(r_(2)^2)+ 1/(r_(3)^2)+ 1/(r_()^2) is :

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 any A B C , prove that r^2+r1 2+r2 2+r3 2=16 R^2-a^2-b^2-c^2dot