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Okay, Assume the triangle has the given measurements. Solve for the remaining sides and angles.

A = pi/6; a = 17.4; b = 19.6

1 answer

sinB/b = sinA/a,
sinB/19.6 = sin30/17.4,
Multiply both sides by 19.6:
sinB = 19.6*sin30/17.4 = 0.5632,

B = 34.3Deg.

C = 180 - (A+B),
C = 180 - (30+34.3) = 115.7deg.

c/sinC = 17.4/sinA,
c/sin115.7 = 17.4/sin30,
Multiply both sides by sin115.7:
c = 17.4*sin115.7/sin30 = 31.4.