If in `Delta ABC, (a -b) (s-c) = (b -c) (s-a)`, prove that `r_(1), r_(2), r_(3)` are in A.P.

If a,b,c are in AP, then show that r_(1), r_(2), r_(3) are in HP.

Statement I In a Delta ABC, if a lt b lt c and r is inradius and r_(1) , r_(2) , r_(3) are the exradii opposite to angle A,B,C respectively, then r lt r_(1) lt r_(2) lt r_(3). Statement II For, DeltaABC r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1)=(r_(1)r_(2)r_(3))/(r)

If in Delta ABC , sides a, b, c are in A.P. then

In a triangle ABC if sides a = 13, b =14 and c = 15, then reciprocals of r_(1),r_(2),r_(3) are in the ratio

If in Delta ABC, tan.(A)/(2) = (5)/(6) and tan.( C)/(2)= (2)/(5) , then prove that a, b, and c are in A.P.

Prove that (r_(1) -r)/(a) + (r_(2) -r)/(b) = (c)/(r_(3))

In a triangle ABC , if r_(1) =2r_(2) =3r_(3) , then a:b:c =

If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in G.P., then prove that a^2, b^2,c^2 are in A.P.

If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in G.P., then prove that a^2, b^2,c^2 are in A.P.

In a triangle ABC, a=3,b=4, c=5, then the value of (rr_(1)r_(2)r_(3))/6 is _____________