nana6299
nana6299 nana6299
  • 22-10-2019
  • Mathematics
contestada

Solve the triangle if a = 40 and B = 40 degrees

Solve the triangle if a 40 and B 40 degrees class=

Respuesta :

bayosanuade
bayosanuade bayosanuade
  • 22-10-2019

Answer:

Step-by-step explanation:

From the information given , C = 90 , B = 40 and a = 40, A = 50

Solving using Sine rule ; a/ Sin A = b / Sin B = c/ Sin C

which implies

40/ Sin 50 = c/ Sin 90 , recall sin 90 = 1

then, 40/ Sin 50 = c/ 1

Cross multiply

c x Sin 50 = 40

              c = 40/ Sin 50

               c ≈ 52. 2163

Using the same procedure to find b

b/ Sin 40 = c/ Sin C

b/ Sin 40 = 52.2163/ 1

therefore b = 52.2163 x Sin 40

                 b≈ 33. 5640

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