Question

❤Consider a parallelogram ABCD in the shown figure where ae/ab=cf/cd, 1/n for some positive integer n .Find the length of XY.❤


☯Full solution is needed.

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Answer 1

Step-by-step explanation:

In ∆ EAD & ∆DCF,

∠1 = ∠ 2  [ corresponding angles are equal , as AB || DC]

∠3 = ∠ 4  [ corresponding angles are equal , as AD || BC]

∆ EAD ~ ∆DCF

[By AA similarity criterion]

EA/DC = AD/CF = DE/FD

[corresponding sides of similar triangles are proportional]

AD/AE = CF/CD…………….(1)

In ∆ EAD & ∆EBF,

∠1 = ∠ 1     (Common angle)

∠3 = ∠ 4      [ corresponding angles are equal , as AD || BC]

∆ EAD  ~ ∆EBF

[By AA similarity criterion]

EA/EB = AD/BF = DE/EF

AD/AE= FB/BE……………….(2)

From eq 1 & 2

AD/AE= FB/BE = CF/CD

Hence, proved.

HOPE THIS WILL HELP YOU.

Answer 2

Step-by-step explanation:

See the above attachment.

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