Progression (Sequence and Series)Hard
Question
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
Options
A.G.P
B.A.P
C.Arithmetic - Geometric Progression
D.H.P.
Solution
ᐃ = 
p1a = p2b = p3b
p1, p2, p3 are in H.P.
⇒
are in H.P.
⇒
⇒ a, b, c are in A.P.
⇒ sinA, sinB, sinC are in A.P.
p1a = p2b = p3bp1, p2, p3 are in H.P.
⇒
are in H.P. ⇒
⇒ a, b, c are in A.P.
⇒ sinA, sinB, sinC are in A.P.
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