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
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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