Trigonometric EquationMedium

Question

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

Options

A.the altitudes are in AP
B.the altitudes are in HP
C.the medians are in GP
D.the medians are in AP

Solution

     
By thr low of sine rule (say)
Alos,   ap1 = ᐃ ⇒ = p1
⇒     P1 =
Similarly,   P2 = and P3
Since, sin P, sin Q, sin R are in AP,we get that P1, P2, P3 are HP.

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