taking the length of the perpendicular as h prove the h/2 = ³/h​

By Ella

taking the length of the perpendicular as h prove the h/2 = ³/h​

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Ella

2 thoughts on “taking the length of the perpendicular as h prove the h/2 = ³/h​”

  1. Answer:

    In the given figure

    EC=

    2

    S

    AE=

    2

    3

    S

    AS c

    is the centroid of △ABC

    ⇒C

    E=

    3

    1

    AE=

    2

    3

    S

    CC

    =

    3

    S

    Now, In △DC

    C

    Using Pythagoras theorem

    (DC

    )

    2

    =(CC

    )

    2

    +(CD)

    2

    h

    2

    +

    3

    S

    2

    =S

    2

    ⇒h

    2

    =

    3

    2S

    2

    ⇒S

    2

    =

    2

    3h

    2

    Reply

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