In triangle ABC, line DE||BC intersects sides AB at D and AC at E. If AD=5 cm, DB=7 cm, and AE=10 cm, find the value of EC.
Show answer & explanation
Correct answer: C
Explanation
Given:
AD = 5 cm
DB = 7 cm
AE = 10 cm
DE ∥ BC
By the formula:
If DE ∥ BC, then
AD / DB = AE / EC
5 / 7 = 10 / EC
5EC = 70
EC = 14 cm