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Question 200038
JEE Mathematics · Hard

Trigonometry: Ambiguous case MCQ

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Ambiguous caseHardQuestion 200038

Question

In a triangle, if a, b and angle A are given with a < b, the ambiguous case gives:
  1. A
    One unique triangle
  2. B
    Two triangles
    Correct
  3. C
    No triangle
  4. D
    Infinitely many triangles

Correct answer

Two triangles

Explanation

When a < b and a > b sin A, two triangles are possible (the 'ambiguous case' of SSA). The altitude from the given side can hit the base in two ways.

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