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CBSE Class 9 Answered

If non parallel sides of trapezium are equal, prove that it is cyclic.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

Construction : CE||DA

AECD is a parallelogram

1 = 2 (opposite angles of parallelogram)

3 = 4 (angles opposite to equal sides of a )

and 2 + 3 = 180o (linear pair)

1 + 4 = 180o putting 1 = 2 and 3 = 4

ABCD is a cyclic quadrilateral as the sum of opposite angles of a cyclic quadrilateral is 180 o

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

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