In ΔABC, DE || BC and intersects AB and AC at D and E. If AD = 2, DB = 4, and AE = 3, find EC.
Show answer & explanation
Correct answer: A
Explanation
DE ∥ BC ⇒ Parallel Line Theorem
AD / DB = AE / EC
2 / 4 = 3 / EC
1/2 = 3 / EC
EC = 6 cm
SSC CGL - 14 Oct 2025 - Shift 1 • Quantitative Aptitude • Q72
In ΔABC, DE || BC and intersects AB and AC at D and E. If AD = 2, DB = 4, and AE = 3, find EC.
Correct answer: A
Explanation
DE ∥ BC ⇒ Parallel Line Theorem
AD / DB = AE / EC
2 / 4 = 3 / EC
1/2 = 3 / EC
EC = 6 cm