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WAEC Mathematics 2007 Question 25

Question 25

Triangles and Quadrilaterals

In a ΔPQR, ∠PQR = ∠PRQ = 45°. Which of the following statements is/are correct?
I. ΔPQR is an equilateral triangle
II. ΔPQR is an isosceles triangle
III. ΔPQR is a right-angled triangle

  1. A.II only
  2. B.I and II only
  3. C.II and III only
  4. D.I and III only
Show the answer and explanation

Answer: C (II and III only)

Explanation

Two equal angles make it isosceles, and the third angle is 180° − 90° = 90°, so it is also right-angled. It is not equilateral.