Question

The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used.

B = 137°, c = 9, b = 14

Answer 1

what do u need us to do ? evaluate?

Answer 2

These are the answer options. They want you to evaluate the measurements given above i think.
-No triangle is formed.

-C = 26°, A = 17°, a ≈ 6

-The triangle cannot be solved with the Law of Sines.

-C = 17°, A = 26°, a ≈ 6

Answer 3

ok i got u

Answer 4

so? @JULIANCHICO

Answer 5

b sinC = c sinB
sinC = (c sinB)/b
sinC = (9 * sin137)/14 = 0.438
<C = sin^-1(0.438) = 26 deg

Answer 6

<A + <B + <c = 180
<A = 180 - (<B+<C)
<A = 180 - (137+26)
<A = 180 - 163
<A = 17 deg

Answer 7

a sinB = b sinA
a = b sinA/sinB
a = 14 sin17/sin137
a = 14 * 0.292/0.682 = 5.99... (take nearest = 6)