Determine the remaining sides and angles of the triangle ABC

Determine the remaining sides and angles of the triangle ABC. A = 58 degree b almostequalto m

Solution

in a triangle A+B+C=180^o

=>A+67^o+55^o=180^o

=>A=58^o

by law of sines a_/sinA=b_/sinB=c_/sinC

10_/sin58^o=b_/sin67^o=c_/sin55^o

b=10sin67^o_/sin58^o,c=10sin55^o_/sin58^o

b=10.85m,c=9.66m