Question

In ABC, DE || BC If DB = 4.9 cm, AD = 1.4 cm EC = 4.2 cm then find AE.

Answer 1

Well if you cant understand my previous answer,

Given: ΔABC, D and E are points on sides AB and AC respectively. Also, DE||BC and AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BC = 5 cm. To Find: BD and CE Find:

refer to image... and then

⇒ AC = 8 cm and AB = 6 cm BD = AB AD = 6 cm 2.4 cm = 3.6 cm CE = AC AE = 8 cm 3.2 cm = 4.8 cm Thus, the BD and CE are 3.6 cm and 4.8 cm respectively

Answer 2

Answer:

Given: Δ ABC, DE ∥ BC, AD = 6 cm, DB = 9 cm and AE = 8 cm.

Required to find AC.

By using Thales Theorem, [As DE ∥ BC]

AD/BD = AE/CE

Let CE = x.

So then,

6/9 = 8/x

6x = 72 cm

x = 72/6 cm

x = 12 cm

∴ AC = AE + CE = 12 + 8 = 20.

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