In a ∆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.(ii) If ADDB=34 and AC = 15 cm, find AE.(iii) If ADDB=23 and AC = 18 cm, find AE.(iv) If AD = 4, AE = 8, DB = x − 4, 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 ADBD=45 and EC = 2.5 cm, find AE.(ix) If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, find the value of x.(x) If AD = 8x − 7, DB = 5x − 3, AE = 4x − 3 and EC = (3x − 1), find the value of x.(xi) If AD = 4x − 3, AE = 8x − 7, BD = 3x − 1 and CE = 5x − 3. find the volume x.(xii) If AD = 2.5 cm, BD = 3.0 cm and AE = 3.75 cm find the length of AC.

In a ∆ABC, D and E are points on the sides AB and AC respectively su

1.	In a ∆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.(ii) If ADDB=34 and AC = 15 cm, find AE.(iii) If ADDB=23 and AC = 18 cm, find AE.(iv) If AD = 4, AE = 8, DB = x − 4, 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 ADBD=45 and EC = 2.5 cm, find AE.(ix) If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, find the value of x.(x) If AD = 8x − 7, DB = 5x − 3, AE = 4x − 3 and EC = (3x − 1), find the value of x.(xi) If AD = 4x − 3, AE = 8x − 7, BD = 3x − 1 and CE = 5x − 3. find the volume x.(xii) If AD = 2.5 cm, BD = 3.0 cm and AE = 3.75 cm find the length of AC.
Answer» In a ∆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. (ii) If $\frac{AD}{DB} = \frac{3}{4}$ and AC = 15 cm, find AE. (iii) If $\frac{AD}{DB} = \frac{2}{3}$ and AC = 18 cm, find AE. (iv) If AD = 4, AE = 8, DB = x − 4, 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 $\frac{AD}{BD} = \frac{4}{5}$ and EC = 2.5 cm, find AE. (ix) If AD = x, DB = x − 2, AE = x + 2 and EC = x − 1, find the value of x. (x) If AD = 8x − 7, DB = 5x − 3, AE = 4x − 3 and EC = (3x − 1), find the value of x. (xi) If AD = 4x − 3, AE = 8x − 7, BD = 3x − 1 and CE = 5x − 3. find the volume x. (xii) If AD = 2.5 cm, BD = 3.0 cm and AE = 3.75 cm find the length of AC.

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