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
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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