In △ABC, D and E are points on sides AB and AC respectively, such that DE ∥ BC. If AD = 3 cm, DB = 6 cm, and AE = 4 cm, find EC.
Show answer & explanation
Correct answer: A
Explanation
Given:
AD = 3 cm
DB = 6 cm
AE = 4 cm
DE ∥ BC
By the formula:
If DE ∥ BC, then
AD / DB = AE / EC
AD / DB = AE / EC
3 / 6 = 4 / EC
1 / 2 = 4 / EC
EC = 8 cm