Question :- In Rombus ABCD, AC = AB. State meausers of ∆ D and ∆ BAD. ​

Question

Question :-
In Rombus ABCD, AC = AB. State meausers of ∆ D and ∆ BAD.

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Jade 2 months 2021-08-11T15:53:13+00:00 1 Answer 0 views 0

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    2021-08-11T15:55:01+00:00

    Answer:

    Here, ABCD is a rhombus.

    ⇒ AC=AB [ Given ]

    ⇒ AB=BC=CD=DA [ Sides of rhombus are equal ]

    ∴ AB=BC=CD=DA=AC

    In △ACD,

    ⇒ AC=CD=DA

    ∴ △ACD is an equilateral triangle.

    ∴ ∠D=60

    o

    [ Angle of an equilateral triangle ]

    We know that rhombus is also a parallelogram,

    ⇒ ∠D+∠A=180

    o

    [ Sum of adjacent angles of a parallelogram is 180

    o

    ]

    ⇒ 60

    o

    +∠A=180

    o

    ∴ ∠D=120

    o

    ∴ ∠BAD=120

    o

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