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If in a triangle ABC, sinA,sinB & sin C are in AP then the altitudes are in ?
1)AP
2)GP
3)HP
4)none

Nishtha Gahlot , 8 Years ago
Grade 12
anser 2 Answers
Saurabh Koranglekar

Last Activity: 5 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: 5 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 

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