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Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an answer does not exist, enter DNE. Round your answers to one decimal place. Below, enter your answers so that ∠A1 is smaller than ∠A2.)

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The given conditions are: 

b = 29, c = 38, ∠B = 25°

We use the law of sines in order to solve the other dimensions needed to describe the triangle. We do as follows:

b/sinB = c/sinC
29/sin25 = 38/sinC
C = 33.63°

A = 180 - 33.63 - 25 = 121.37°

a / sin 121.37 = 29 / sin 25
a = 58.59

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