Question

5. In A ABC if BC| DE. (AB)/(DB) = 4/5 and AC = 36 cm then AE = ?
a) 14 cm
c) 18 cm
b) 16 cm
d) 20 cm​

Answer 1

Answer:

Step-by-step explanation:

1. In a Δ 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.

Solution:

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.

Answer 2

Answer:

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