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Points D and E are taken on sides AB and AC of triangle ABC such that DB=5AB and EC=5AE. If BC=18cm,then,find the length of DE.

Points D and E are taken on sides AB and AC of triangle ABC such that DB=5AB and EC=5AE. If BC=18cm,then,find the length of DE.

Grade:9

1 Answers

Arun
25763 Points
3 years ago

first prove triangle ABC similar triangle ade
angle A is common
angle B = angle D(BC//DE, corresponding angle are equal)
therefore triangle are similar
thus by proportional property of similar triangles
AD/AB = DE/BC
Hope now you are able to proceed.
Regards
Arun
(askIITians forum expert)

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