Solve for remaining sides and angles of a triangle with side
Solve for remaining sides and angles of a triangle with side a = angle A = 30.0 degree.
Solution
a = 60 cm
c = 40 cm
A = 30 degree
Now law of cosines,
a = sqrt[b^2 + c^2 - 2bc*cosA]
60 = sqrt[b^2 + 40^2 - 2*b*40*cos30]
b^2 - 69.28*b - 2000 = 0 ========> b = 91.2 cm
Then b = sqrt[a^2 + c^2 - 2ac*cosB]
91.2 = sqrt[60^2 + 40^2 - 2*60*40*cosB] = sqrt[5200 -4800*cosB]
B = 130.5 degree
THen C = 180 - 30 - 130.5 = 19.5 degree
