solve the triangle if a8 c5 and B 40 degreesSolutionb2 a2

solve the triangle if a=8 c=5 and B= 40 degrees

Solution

b² = a² + c² -2ac(cosB)

=> b² = 64 + 25 - 80cos40

=>. b = 5.265

=> sinA = asinB/b => sinA = 8 x (sin40)/5.265 = 0.97676

=> A = 77.624 degree

=> C = 180 - 40 - 77.624 = 62.376 degree