A triangle has sides A, B, and C. The angle between sides A and B is (5pi)/6 and the angle between sides B and C is pi/12. If side B has a length of 7, what is the area of the triangle?

1 Answer
Binayaka C.
May 7, 2016

The Area is 12.25 square units

Explanation:

The angle between sides A and B /_C= 5*180/6=150^0
The angle between sides B and C /_A= 180/12=15^0
The angle between sides C and A /_B= 180-(150+15)=15^0
By sine law , we know A/sinA=B/sinB=C/sinC :. A=SinA/sinB*B=7*sin15/sin15=7 Now A=7 ; B=7 and their included angle /_C=150^0 :. The Area =A*B*sinC/2=7*7*sin150/2 =12.25 square units[Ans}

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