Question

In the given figure, DE||BC. AB = 15, cm, BD = 6cm, AC = 25 cm, then AE is equal to​

Answer 1

As DE || BC, and angle A is common,

triangle ADE ~ triangle ABC.

AE = 8 cm, EC = 2 cm, AC = 8 + 2 = 10 cm

As the both triangles are similar,

Ratios of their respective sides are equal.

AE / AC = DE / BC

8 / 10 = DE / 6

DE = 48 / 10 = 4.8 cm

DE = 4.8 cm

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