Question

one of the diagonals of a rhombus is equal to one of its sides.find the angles of the rhombus​

Answer 1

Answer:

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ABCD is a rhombus.

⇒AC=BC ..(1)(given)

BC=AB ...(2)(side of rhombus)

From eqns(1) and (2)

AC=BC=AB

⇒△ABC is equilateral triangle.

So, ∠ABC=60

∘

∠BCA=60

∘

....(3)

∠CAB=60

∘

...(4)

Similarly, in △ADC,AD=DC(sides of a rhombus)

AD=BC

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Answer 2

Answer:

ABCD is a rhombus.

⇒AC=BC ..(1)(given)

BC=AB ...(2)(side of rhombus)

From eqns(1) and (2)

AC=BC=AB

⇒△ABC is equilateral triangle.

So, ∠ABC=60

∘

∠BCA=60

∘

....(3)

∠CAB=60

∘

...(4)

Similarly, in △ADC,AD=DC(sides of a rhombus)

AD=BC

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Step-by-step explanation:

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