If in a triangle ABC, the altitudes from the vertices A,B,C on opposite sides are in H.P., then sinA,sinB,sinC  are in

Area of ∆ABC=Δ=12p1a=12p2b=12p3b  where p1,p2 ,p3 are altitudes drawn from the vertices A,B,C to the opposite sides BC,CA,AB respectively  given that p1,p2,p3  are in H.P.⇒2Δa,2Δb,2Δc  are in H.P.⇒1a,1b,1c  are in H.P.⇒a,b,c  are in A.P.⇒sinA,sinB,sinC  are in A.P.   from sine rule