In triangle ABC, DE is drawn parallel to BC, intersecting AB and AC at D and E respectively. If AD=3, DB=6, and AE=4, find EC.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 8
Since DE ∥ BC, by Basic Proportionality Theorem:
AD/DB = AE/EC
3/6 = 4/EC
1/2 = 4/EC
EC = 8
Therefore, EC = 8.