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WAEC Mathematics 2023 Question 29

Question 29

Coordinate Geometry

What is the name of a triangle with vertices (1, −3), (6, 2) and (0, 4)?

  1. A.Isosceles triangle
  2. B.Equilateral triangle
  3. C.Right triangle
  4. D.Scalene triangle
Show the answer and explanation

Answer: A (Isosceles triangle)

Explanation

The squared side lengths are 5² + 5² = 50, 6² + 2² = 40 and 1² + 7² = 50. Two sides are equal (√50) and 40 + 50 ≠ 50, so it is isosceles, not right-angled.