If in a triangle ABC, sinA,sinB & sin C are in AP then the altitudes are in ?1)AP2)GP3)HP4)none
Nishtha Gahlot , 8 Years ago
Grade 12
Trigonometry> If in a triangle ABC, sinA,sinB & sin C a...
2 Answers
Saurabh Koranglekar
Last Activity: 4 Years ago
Dear student
Please find the link attached
https://www.askiitians.com/forums/Algebra/if-in-a-triangle-abc-the-altitudes-from-the-verti_75855.htm
Regards
Vikas TU
Last Activity: 4 Years ago
p1, p2 , p3 are the altitudes from A , B , C respectively.
del = .5ap2=.5bp2=.5cp3
p1 = 2del / a
p2 = 2del/b
p3 = 2del/c
Apply sine law,
p1 = 2del/KsinA ,
p2 = 2del/KsinB
p3 = 2del/KsinC
Sin A , SinB , SinC are in AP
so, p1, p2, p3 are in HP
del = .5ap2=.5bp2=.5cp3
p1 = 2del / a
p2 = 2del/b
p3 = 2del/c
Apply sine law,
p1 = 2del/KsinA ,
p2 = 2del/KsinB
p3 = 2del/KsinC
Sin A , SinB , SinC are in AP
so, p1, p2, p3 are in HP
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