How do you solve the triangle given ∠A = 55°, ∠B = 64°, c = 34?

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Answer 1 · 2017-01-09T21:19:27

Subtract the two known angles from #180^@# to find #angle C#
Use The Law of Sines to compute sides "a" and "b"

Subtract the two known angles from #180^@# to find #angle C#

#angle C = 180^@ - 55^@ - 64^@ = 61^@#

Use The Law of Sines to compute sides "a" and "b":

#a = csin(A)/sin(C)#

#a = 34sin(55^@)/sin(61^@)#

#a ~~ 31.84#

#b = csin(B)/sin(C)#

#b = 34sin(64^@)/sin(61^@)#

#b ~~ 34.94#