Question

State whether the given measurements determine zero, one, or two triangles.

C = 30°, a = 28, c = 14

Answer 1

1

Explanation:

took test

Answer 2

The Cosine Law:
c² = a² + b² - 2 a b cos C
14² = 28² + b² - 56 · b · √3/2
196 = 784 + b² - 28√3 b
b² - 28√3 b + 588 = 0
b 1/2 = (28√3 +/- √(2352 - 2352 )) / 2 = 28√3 / 2 = 14√3
Answer:
The given measurements determine one triangle.