the angles of a triangle are in AP if the greatest angle is double the least.find all the angles of

Asked by riyaliz | 22nd Jul, 2008, 10:59: PM

Expert Answer:

 the angles of  a triangle  are in A.P. (given)

 Let us assume the angles  be    X  , X+a ,   X + 2a

  2X  =  X+ 2a   ( given )   ===>   X = 2a

 X +  (X + a )+  (X + 2a)   == 180  ( the sum of the angles  equal to  180 )

==>  3X  + 3a  == 180

 therefore     X + a  == 60  === >  2a + a  = 60  (substituting  X = 2a)  ==> 3a= 60

== >  a = 20.   so   substituting  X = 2a  ==>  X = 2 (20) ==> X =  40

 the angles are   X , X  +a , X + 2a  ==  40 ,  60  , 80  degrees

Answered by  | 23rd Jul, 2008, 12:15: PM

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