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WAEC Mathematics 1997 Question 21

Question 21

Constructions

Which of the following is not necessarily sufficient for the construction of a triangle?

  1. A.Three sides
  2. B.Two sides and an included angle
  3. C.Two sides and a right angle
  4. D.Two sides and an angle
  5. E.Two angles and a side.
Show the answer and explanation

Answer: D (Two sides and an angle)

Explanation

Two sides with an angle that is not between them can give two different triangles (the ambiguous case), so it does not always fix one triangle.