Solve the triangle

Question

Solve the​ triangle, if possible.

c=7 ​mi,

B=39.28°​,

C=31.79°

Question content area bottom

Part 1

Select the correct choice below​ and, if​ necessary, fill in the answer boxes to complete your choice.

There is only one possible solution for the triangle.

The measurements for the remaining angle A and sides a and b are as follows.

A≈

108.93108.93°

a≈

12.56912.569

mi

b≈

8.4138.413

mi

B.

There are two possible solutions for the triangle.

The measurements for the solution with the smaller angle A are as follows.

A1≈

enter your response here°

a1≈

enter your response here

mi

b1≈

enter your response here

mi

The measurements for the solution with the larger angle A are as follows.

A2≈

enter your response here°

a2≈

enter your response here

mi

b2≈

enter your response here

mi

C.

There are no possible solutions for this triangle.

Answer 1

The law of sines states that sinA/a = sinB/b = sinC/c

sin31.79 / 7 = sin39.28 / b

b = sin39.28 / sin 31.79 x 7 = 8.4125

180 - 39.28 - 31.79 = 108.93

sin108.93 / a = sin31.79 / 7

a = sin108.93 / sin 31.79 x 7 = 12.569

Double check my math