**In a Δ ABC, D and E are points on the sides AB and AC respectively such that DE || BC.**

**i) If AD = 6 cm, DB = 9 cm and AE = 8 cm, Find AC.**

i**i) If AD/DB = 3/4 and AC = 15 cm, Find AE.**

**iii) If AD/DB = 2/3 and AC = 18 cm, Find AE.**

**iii) If AD/DB = 2/3 and AC = 18 cm, Find AE.**

**iv) If AD = 4 cm, AE = 8 cm, DB = x – 4 cm and EC = 3x – 19, find x. :**

**v) If AD = 8 cm, AB = 12 cm and AE = 12 cm, find CE.**

**vi) If AD = 4 cm, DB = 4.5 cm and AE = 8 cm, find AC.**

**vii) If AD = 2 cm, AB = 6 cm and AC = 9 cm, find AE.**

**viii) If AD/BD = 4/5 and EC = 2.5 cm, Find AE.**

**viii) If AD/BD = 4/5 and EC = 2.5 cm, Find AE.**

**ix) If AD = x cm, DB = x – 2 cm, AE = x + 2 cm, and EC = x – 1 cm, find the value of x.**

**ix) If AD = x cm, DB = x – 2 cm, AE = x + 2 cm, and EC = x – 1 cm, find the value of x**

**x) If AD = 8x – 7 cm, DB = 5x – 3 cm, AE = 4x – 3 cm, and EC = (3x – 1) cm, Find the value of x.**

**xi) If AD = 4x – 3, AE = 8x – 7, BD = 3x – 1, and CE = 5x – 3, find the value of x.**

**xii) If AD = 2.5 cm, BD = 3.0 cm, and AE = 3.75 cm, find the length of AC.**