Math, asked by sukanti76, 1 year ago

in fig.(1) is DE parallel to Bc AE=2cm,Ec=4cm and BC=9cm. Find the length of DE

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Answered by Anonymous

Answer:

Step-by-step explanation:

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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mahendrahansda643: IT IS WRONG ANSWER

mahendrahansda643: I WILL EXPLAIN TO YOU THE WRITE ANSWER

mahendrahansda643: 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 = 2cm, EC = 4cm SO, AC = 6 cm B As the both triangles are similar,

Ratios of their respective sides are equal.

AE / AC = DE / BC 2/6 = DE/9

mahendrahansda643: 6DE = 18 DE = 3cm

sukanti76: mahendrahansda643 thank you so much

Answered by saisagar6129

DE = 3 cm..
The answer for ur question is given

saisagar6129: please mark me brainliest plss Plssssssss Plssssssss

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