Prove that a cyclic rhombus is a square
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GIVEN- Rhombus ABCD is inscribed in a circle .
TO PROVE- ABCD is a square.
GIVEN- Rhombus ABCD is inscribed in a circle .
TO PROVE- ABCD is a square.
santhi49:
Proof I want
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we know that a rhombus is a parallelogram and a parallelogram has its opposite sides equal
so in a rhombus ABCD A=C and B=D
now given ABCD is a cyclic quadrilateral
and a cyclic quadrilateral has its opposite sides sum as 180
so
A+C=180
since A=C so
A+A=180
A=90Now if a rhombus has one of its angles as90 then it's a square
so ABCD is a square
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