the angles of a triangle are in A.P and the greatestangle is 84degree. Find all the three anles in radians

Asked by shreya | 6th Jul, 2013, 08:19: AM

Expert Answer:

let the angles be a-2d, a-d and a. 
 
Since the greatest angle = 84
Hence a = 84
 
Also, by angle sum property
a-2d+a-d+a = 180
3a-3d = 180
3*84 -180 = 3d
d = 72/3 = 24 degree
Hence angles = 84, (84-24), (84-2*24)
angles = 84, 60, 36 degree
angles = 84*pi/180, 60*pi/180, 36*pi/180 radians
angles = 21pi/45, pi/3, pi/5 radians. 

Answered by  | 6th Jul, 2013, 11:52: PM

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