A triangle has sides A, B, and C. The angle between sides A and B is (pi)/6. If side C has a length of 8 and the angle between sides B and C is (5pi)/12, what are the lengths of sides A and B?

1 Answer
Binayaka C.
Mar 29, 2016

A=15.45 units and B= 15.45 Units

Explanation:

The opposite angle of side A is 5*180/12=75^0 ; The opposite angle of side C is 180/6=30^0 ;The opposite angle of side A is :.180-75-30=105^0;
Using sine law we get A/sinA=C/sinC or A= 8 * (sin75/sin30)=15.45; B=15.45 since this is an isocelles triangle We also get B/sinB=C/sinC or B= 8 * (sin75/sin30)=15.45;[Ans]

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