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

Question

1598 views around the world

You can reuse this answer
Creative Commons License

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":

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

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

$a ~~ 31.84$

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

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

$b ~~ 34.94$