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 24 and the angle between sides B and C is pi/12, what are the lengths of sides A and B?

1 Answer
Binayaka C.
May 1, 2016

The lengths of sides A and B are 12.42 each .

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
:./_B= 180-(150+15)=15^0.This is an isocelles triangle as two angles /_A and/_B are equal. Hence sides A and B are of equal length.
applying sine law we know A/sinA=C/sinC or A=24*(sin15/sin150) =12.42 :. B=A=12.42[Ans]

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