Question

If in a triangle PQR, sin P, sin Q, sin R are in A.P., then 

(1) the altitudes are in A.P. 

(2) the altitudes are in H.P. 

(3) the medians are in G.P. 

(4) the medians are in A.P.

Answer 1

Correct Option  (2) the altitudes are in H.P.

Explanation:

If the sides of the ∆ are p, q, r then sin P, sin Q, sin R are in A.P 

⇒ p, q, r are in A.P. (since p∝ sin P etc.)