Question

In Fig. 4.241,DE||BC and AD = ½ BD. If BC = 4.5 cm, find DE.

Answer 1

Answer:

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Answer 2

DE = 1.5 cm

Step-by-step explanation:

Given:

In ΔABC, DE || BE

AD = BD/2

BC = 4.5 cm.

To find: DE

Solution:

In ΔABC and ΔADE, we find that

angle B = angle ADE (corresponding angles)

angle A = angle A (common angles)

so ΔABC ~ ΔADE .

AD/AB = DE/BC

AD / (AD+BD) = DE/BC

0.5BD/ (0.5BD + 1BD) = DE/BC

1/3 = DE/BC

1/3 = DE/4.5

Therefore DC = 4.5/3 = 1.5 cm.