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

Dear Student

Δ = (1/2)p₁a = (1/2)p₁b = (1/2)p₁c
p₁, p₂, p₃ are in H.P.
⇒ 2Δ/a , 2Δ/b , 2Δ/c are in H.P.
⇒ 1/a, 1/b, 1/c are in H.P
⇒ a, b, c are in A.P.
⇒ sinA, sinB, sinC are in A.P.

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya