In the known △ ABC, a = 45 °, C = 30 ° and C = 10cm, the triangle is solved

In the known △ ABC, a = 45 °, C = 30 ° and C = 10cm, the triangle is solved

In ∵ △ ABC, a = 45 ° and C = 30 °, B = 180 ° - a-c = 105 ° is obtained according to the sum theorem of internal angles of triangles; from the sine theorem, asin 45 ° = bsin 105 ° = 10sin 30 ° is obtained, and the solution is a = 102 cm and B = 5 (2 + 6) cm