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Kryger [21]
2 years ago
9

Solve the triangle.

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
3 0
Using the sine law of triangles to solve for angle C:

b / sin B = c / sin C

C = arcsin (c * sin B / b)
C = 30.7<span>°

Since interior angles of a triangle always add up to 180</span><span>°, we can use this to solve for angle A:

angle A = 180</span>° - 73° - 30.7<span>°
angle A = 76.3</span><span>°

Having solved for angle A, we can solve for side a using the sine law.

a / sin A = b / sin B

a = b * sin A / sin B
a = 15.2

Therefore, the correct answer is B.</span>
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