Q2 of 186 Page 184

D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.
Find the value of x, when

AD = 4 cm, DB = (x - 4) cm, AE = 8 cm and EC = (3x -19) cm.

Given: AD = 4 cm, DB = (x – 4) cm, AE = 8 cm and EC = (3x – 19) cm

By Thale’s theorem,

⇒

⇒ 4(3x – 19) = 8(x – 4)

⇒ 12x – 76 = 8x – 32

⇒ 12x – 8x = 76 – 32

⇒ 4x = 44

⇒ x = 44/4 = 11

Thus, x = 11 cm

D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.

If and EC = 3.5 cm, find AE.

D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.

Find the value of x, when

AD = x cm, DB = (x - 2) cm,

AE = (x + 2) cm and EC = (x - 1) cm.

D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.

Find the value of x, when

AD = (7x - 4) cm, AE = (5x - 2) cm, DB = (3x + 4) cm and EC = 3x cm.

D and E are points on the sides AB and AC respectively of a ΔABC. In each of the following cases, determine whether DE || BC or not.

AD = 5.7 cm, DB = 9.5 cm, AE = 4.8 cm and EC = 8 cm.

D and E are points on the sides AB and AC respectively of a ΔABC such that DE || BC.Find the value of x, whenAD = 4 cm, DB = (x - 4) cm, AE = 8 cm and EC = (3x -19) cm.