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12 December, 09:23

In triangle ABC, you know that a = 2, b = 3 and m < A = 30°. Which option below lists the number of triangles and gives the correct explanation?

There are no triangles because b sin A < a.

There is exactly one triangle because b sin A = 0.5b.

There are two triangles because b sin A < a < b.

There are three triangles because b sin A = 0.5b and b sin A < a < b.

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Answers (2)
  1. 12 December, 09:46
    0
    Apply the Law of Sines.

    sinB/b = sinA/a

    sinB/3 = sin (30°) / 2

    sinB = (3/2) sin (30°) = 0.75

    Therefore

    bsinA = 3*sin (30) = 1.5

    0.5b = 0.5*3 = 1.5

    Answer:

    There is exactly one triangle because b sinA = 0.5b.
  2. 12 December, 12:31
    0
    That person who answered wrong
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