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CBSE Class 9 Answered

The vertices of a parallelogram lie on a circle. Prove that its diagonals are equal.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

B = D (opposite angles of a parallelogram)

But B + D = 180o (opposite angles of a cyclic quad. are supplementary)

B = D = 90o

We know that, a parallelogram with one angle as 90o is a rectangle.

So, ABCD is a rectangle.

AC = BD (diagonals of a rectangle are equal)

Answered by | 04 Jun, 2014, 03:23: PM
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