Question

In Fig. 4.141,DE||BC such that AE = (1/4) AC. If AB = 6 cm, find AD.

Answer 1

Answer:

1.5 cm

Step-by-step explanation:

solution is in the attachment

Answer 2

AD = 1.5 cm

Step-by-step explanation:

Given: DE||BC

AE/AC = 1/4

AB = 6cm

To find: AD.

Let's compare ΔABC and ΔADE,

∠A is common

Also, ∠D = ∠B (corresponding angles)  

Thus, ΔABC ~  ΔADE (AA similarity).  

Two similar triangles have corresponding sides in same ratios.

So AD/AB = AE/AC = 1/4

AD/AB = 1/4

AD / 6 = 1/4

AD = 6/4 = 1.5 cm