Find c if a 3 b 5 and A 30degree 5644degree 12456degree d

Find c if a = 3, b = 5, and A = 30degree 56.44degree 124.56degree degree 56.44 or 124.56degree No answer text provided.

Solution

a = 3, b = 5, A = 30⁰

c = ?

from sine formula :

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

from sin A / a = sin B / b

sin 30 / 3 = sin B / 5

sin B = 0.8333

B = sin^-1 ( 0.8333) = 56.44 degree

C = 180 - A- B = 180 - 30 - 56.44 = 93.56

now from   sin B / b = sin C / c

sin ( 56.44) / 5 = sin (93.56) / c

c = sin( 93.56) *5 / sin( 56.44)

c = 5.988

ans-> No ans text provided.

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17) a = 2, b = 3

to calculate c we need more info like angle A or B or C.