Question :-
In Rombus ABCD, AC = AB. State meausers of ∆ D and ∆ BAD.
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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
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[ Angle of an equilateral triangle ]
We know that rhombus is also a parallelogram,
⇒ ∠D+∠A=180
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[ Sum of adjacent angles of a parallelogram is 180
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]
⇒ 60
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+∠A=180
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∴ ∠D=120
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∴ ∠BAD=120
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