In triangle ABC, D and E are points on AB and AC respec... – Geometry

Geometrymedium · Past Paper

In triangle ABC, D and E are points on AB and AC respectively such that DE is parallel to BC. If AD=2, DB=3, and AE=4, find EC.

D10

✓ Correct Answer: B — 6

By Basic Proportionality Theorem, AD/DB = AE/EC. 2/3 = 4/EC => 2EC = 12 => EC = 6.

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