Determine whether aabc has no solution or one solution. then solve the triangle if possible.

a = 120, a=7, b= 4

a.) one solution; c=4.1: b-29.7°c -30.3°

b.) one solution; c = 4.1: b = 30.30; c = 29.7°

c.) one solution; c= 7; b = 29.7º; c = 120°

d.) no solution

A.) one solution; c ≈ 4,1; B ≈ 29,7°; C = 30,3°

Step-by-step explanation:

We will be using the Law of Sines:

Solving for Angle Measures

In the end, use the function or else you will throw off your answer.

Solving for Sides

Given instructions:

120° = A

7 = a

4 = b

Now, we have to solve for m∠B, since its side has already been defined, also, it is because angle A and side a have all information filled in:

Now that we have the measure of the second angle, we can use the Triangular Interior Angles Theorem to find the third angle measure:

149,7° + = 180°

-149,7° - 149,7°

_____________________________

Now, we have to find side c. We could use the information for angle B and side b:

Now, everything has been defined!

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step-by-step explanation: