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Triangle ABC has area . D is the midpoint of BC, E is the midpoint of AB. Find ar(triangle BDE) in .
Use the median property twice.

Class 9Areas — Figures on the Same BaseGeometry
  • A23
  • B42
  • C21
  • D19

Step-by-Step Solution

Median AD: ar(ABD) = (84) = 42. In triangle ABD, DE is the median from D to AB (E midpoint of AB), so ar(BDE) = .
Answer: C) 21

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