Question

If in triangle ABC, DE II BC – AB=3.6 cm, AC=2.4cm and AD=2.1 cm then the length of AE is

_________

(a) 1.4 cm (b) 1.8 cm (c) 1.2 cm (d) 1.05 cm​

Answer 1

Answer:

a) 1.4 cm

Step-by-step explanation:

Given: △ABC, DE∥BC

In △ABC and △DEA,

∠BAC=∠DAE ...(Common angles)

∠ABC=∠ADE ...(Corresponding angles)

∠ACB=∠AED ...(Corresponding angles)

Thus, △ABC∼△ADE ...(AAA rule)

Hence,

AB/ AD = AC/ AE. ... corresponding angles

3.6/ 2.1 = 2.4/AE

AE = 2.1 × 2.4/ 3.6

AE = 1.4cm

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