Question

1. In the figure, DE || BC. If AD=4 cm,
DB = 8 cm and AC = 18 cm, find the
lengths of AE and EC.
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Answer 1

Answer:

Here is your answer

Step-by-step explanation:

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.