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The vertices of parallelogram lie on a circle. Prove that its diagonals are equal.

Posted by Anuja Anil 8 years, 9 months ago

CBSE > Class 09 > Mathematics

1 answers

🅿🅰🆆🅰🅽 . 7 years, 10 months ago

B = D (opposite angles of a parallelogram)
But B + D = 180^o (opposite angles of a cyclic quad. are supplementary)
B = D = 90^o
We know that, a parallelogram with one angle as 90^o is a rectangle.
So, ABCD is a rectangle.
AC = BD (diagonals of a rectangle are equal)

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