Question

D and E are respectively the points on the side a b and a c of a triangle ABC such that ad = 3 cm,BD=5 cm BC= 12.8 cm and DE || BC.The length of the DE is​

Answer 1

Answer:

In Δ ABC, D and E are points on AB and AC , DE || BC and AD = 2.4 cm, AE = 3.2 cm, DE = 2 cm and BE = 5 cm. Hence,BD = 3.6 cm and CE = 4.8 cm. This discussion on D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 3 cm, BD = 5 cm, BC = 12.8 cm and DE || BC.

Step-by-step explanation:

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Answer 2

AB = AD + DB

AB= 2 + 3 = 5 cm

So,

$\tt \: \frac{2}{5} = \frac{DE}{7.5}$

$\tt \leadsto DE = \frac{2}{5} \times 7.5$

$\tt \leadsto DE = 2 × 1.5$

$\tt \leadsto DE = 3 \: cm$

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Hence, the length of side DE is 3 cm.

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Answer refers in attachment.