In , sin P, sin Q and sin R are in A.P., then

MHT CET 2023 Mathematics question

Mathematics Solution of Triangles MHT CET 2023

Not in JEE syllabus

In PQR, sin P, sin Q and sin R are in A.P., then

(A)its altitudes are in A.P.
(B)its altitudes are in H.P.Correct
(C)its medians are in G.P.
(D)its medians are in A.P.

Answer: (B)

Solution

By the sine rule , so the sides are in A.P. The altitudes are , , , i.e. each altitude is proportional to the reciprocal of its side. If are in A.P. then are

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Question ID VK-094606