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JAMB Mathematics 1989 Question 36

Question 36

Triangles and Quadrilaterals

PQRS is a rhombus. If PR2 + QS2 = kPQ2, determine k.

  1. A.1
  2. B.2
  3. C.3
  4. D.4.
Show the answer and explanation

Answer: D (4.)

Explanation

The diagonals of a rhombus bisect each other at right angles, so PQ² = (PR/2)² + (QS/2)². Multiplying by 4, PR² + QS² = 4PQ², so k = 4.