hamada16akn hamada16akn
  • 05-01-2022
  • Mathematics
contestada

Solve triangle ABC given that:

A=47 , B= 84 , b=12 cm

Respuesta :

dt33183 dt33183
  • 05-01-2022

Answer:

C = 49 degrees

a = 8.73 cm

c = 9.11 cm

Step-by-step explanation:

If angle A is 47 and angle B is 84, angle C = 180 - (A + B) = 180 - (47 + 84) = 49

length of b is 12 cm

so according to the formula

a/sin(A) = b/sin(B) = c/sin(C)

a/sin(47) = 12/sin(84) = c/sin(49)

a = sin(47) x 12/sin(84) = 0.731 x 12/0.995 = 8.73 cm

c = sin(49) x 12/sin(84) = 0.755 x 12/0.995 =  9.11 cm

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