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MathematicsMathematics
26 December, 16:01

How many distinct triangles can be formed for which mzA

= 75°, a = 2, and b = 3?

O No triangles can be formed.

One triangle can be formed where angle B is about 15°.

One triangle can be formed where angle B is about 40°.

Two triangles can be formed where angle B is 40° or

140°

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Answers (1)
  1. 26 December, 16:26
    0
    We are given

    m∠A = 75 deg

    a = 2

    b = 3

    Apply the Law of Sines.

    sin (B) / b = sin (A) / a

    sin (B) / 3 = sin (75) / 2

    sin (B) = (3*sin (75)) / 2 = 1.45

    The value of the sin function cannot exceed 1.

    This means that the triangle cannot exist.

    Answer: No distinct triangles
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Home » Mathematics » How many distinct triangles can be formed for which mzA = 75°, a = 2, and b = 3? O No triangles can be formed. One triangle can be formed where angle B is about 15°. One triangle can be formed where angle B is about 40°.
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