Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. Below, enter your answers so that ∠A1 is smaller than ∠A2.) a = 71, b = 104, ∠A = 21°
∠B1 = ∠B2 =
∠C1 = ∠C2 =
c1 = c2 =

,

,

,

Step-by-step explanation:

The Law of Sines states that:

Where:

, , - Side lengths, dimensionless.

, , - Angles opposite to respective sides, dimensionless.

Given that , , , the sine of angle B is:

Sine is positive between 0º and 180º, so there are two possible solutions:

The remaining angle is obtained from the principle that sum of internal triangles equals to 180 degrees: (, , )

Lastly, the remaining side of the triangle is found by means of the Law of Sine: (, , , )

The answer are presented below:

,

,

,

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