Question

find the value of CD, if AB parallel EF parallel CD, AB= 28cm,
EF=56 cm , AC= 3/4 CE , CD = ?​

Answer 1

Answer:

Consider △ADB and △EDF,

∠ADB=∠EDF              [ Vertical angles ]

∠ABD=∠FED              [ Alternate angles ]

∠BAD=∠EFD             [ Alternate angles ]

∴  △ADB∼△EDF       [ By ASA criterion ]

⇒  DEBD=FEAB

⇒ y4=106

⇒ 6y=40

⇒ y=640=320

⇒ y=6.67cm

Similarly, △ADE∼△CDE        [ AA criterion ]

⇒ BEDE=BADC

⇒ 10.676.67=6x

⇒ x=6×10.676.67

⇒ x=3.75cm

∴  The values of x and y are 3.75cm and 

6.67cm.

Step-by-step explanation:

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