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The area of triangle ABC is . D lies on BC with BD : DC = 2 : 3, and E is the midpoint of AD. What is the area of triangle ABE?

Competition practiceGeometry
  • A
  • B
  • C
  • D

Step-by-Step Solution

Triangles with the same height have areas in the ratio of their bases: area ABD . BE is a median of triangle ABD, so area ABE = .
Answer: A)

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