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In triangle ABC, D and E are midpoints of AB and AC. DE is parallel to BC. Triangles BDE and CDE are on the same base DE and between the same parallels DE and BC. Therefore ar(BDE) compared to ar(CDE) is:

Class 9Areas — Figures on the Same BaseGeometry
  • Aequal
  • Bdouble
  • Chalf
  • Dtriple

Step-by-Step Solution

Both triangles share base DE and lie between the parallels DE and BC, so they have equal areas.
Answer: A) equal

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