In the given figure Angle 90° AD perpendicular BD=2cm and CD=8cm Find AD​

Question

In the given figure Angle 90° AD perpendicular BD=2cm and CD=8cm Find AD​

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Nevaeh 2 years 2021-07-08T05:30:44+00:00 1 Answers 0 views 0

Answers ( )

  1. Elliana
    0
    2021-07-08T05:32:28+00:00
    Reply

    Given:

    ∠BDC=90

    ∘

    ∠ABC=90

    ∘

    Let ∠BCD=x

    ∘

    Using triangle sum property in △BDC, ∠DBC=90−x

    ∘

    Also ∠ABD=x

    ∘

    Using triangle sum property in △ADB, ∠BAD=90−x

    ∘

    Now considering △BDC and △ADB

    ∠BDC=∠BDA [∵∠BDC=∠BDA=90

    ∘

    ]

    ∠DBC=∠DAB [∵∠DBC=∠DAB=(90−x)

    ∘

    ]

    So by AA

    △BDC∼△ADB

    Hence

    CD

    BD

    =

    BD

    AD

    CD

    8

    =

    8

    4

    CD=16

    Hence CD=16cm

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