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A triangle and a parallelogram are on the same base. The triangle's area is half the parallelogram's area only when they are also:

Class 9Areas — Figures on the Same BaseGeometry
  • Abetween the same parallels
  • Bcongruent
  • Cright-angled
  • Dequilateral

Step-by-Step Solution

The half-area relation requires the same base AND the same pair of parallels (equal height).
Answer: A) between the same parallels

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