A triangle has sides A, B, and C. The angle between sides A and B is (5pi)/6. If side C has a length of 3 and the angle between sides B and C is pi/12, what are the lengths of sides A and B?

1 Answer
Binayaka C.
Oct 18, 2016

A=1.55(2dp) unit ; B=1.55(2dp) unit ;

Explanation:

The angle between sides A and B is /_c = (5*180/6)=150^0
The angle between sides B and C is /_a = (180/12)=15^0
The angle between sides C and A is /_b = 180-(150+15)=15^0 ;C=3
Applying sine law; A/sina=B/sinb=C/sinc we get A/sin15=3/sin150 or A=3*(sin15/sin150)=1.55(2dp) unit and similarly we get B/sin15=3/sin150 or B=3*(sin15/sin150)=1.55(2dp) unit {Ans]

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