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2017 · Q77

In a triangle ABC, the medians AD and BE intersect at G. A line DF is drawn parallel to BE such that F is on AC. If AC = 9 cm, then what is CF equal to ?

Elementary MathematicsGeometry: Lines, Angles and Triangles
  1. A2.25 cm
  2. B3 cm
  3. C4.5 cm
  4. D6 cm

Explanation

In △BEC, D is the midpoint of BC and DF ∥ BE, so F is the midpoint of EC (midpoint theorem). CE = AC/2 = 4.5 cm, hence CF = 4.5/2 = 2.25 cm. Hence option (A) 2.25 cm.