SOLUTION: Of the three angles of a triangle one is half the greatest and other is thrice the smallest .find the angles

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Question 338558: Of the three angles of a triangle one is half the greatest and other is thrice the smallest .find the angles
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the angles be A,B,C from smallest to largest.
B=%281%2F2%29C
C=2B
.
.
.
B=3A
A=%281%2F3%29B
.
.
.
A%2BB%2BC=180
%281%2F3%29B%2BB%2B2B=180
B%2B3B%2B6B=540
10B=540
B=54
A=%281%2F3%29%28108%29=18
C=2%28108%29=108