Question

In Fig. 4.240,DE||BC in ΔABC such that BC = 8 cm, AB = 6 cm and DA =1.5 cm. Find DE.

Answer 1

Answer:

Given: In ∆ABC, DE || BC. BC = 8 cm, AB = 6 cm and DA = 1.5 cm.

Given:

In ΔABC, DE || BC.

BC = 8 cm

AB = 6 cm

AD = 1.5 cm

We need to find the length of DE.

In ΔABC and ΔADE, we note that

angle B = angle ADE (corresponding angles)

angle A = angle A (common angle)

Therefore, we see that ΔABC ~ ΔADE, because of the AA similarity criterion.

Therefore, we get

Therefore, the length of DE is 2 cm.

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