Prove that in a cyclic trapezium, the non-parallel sides are equal.

Asked by pereiracalida | 14th Jan, 2018, 07:22: PM

Expert Answer:

begin mathsize 16px style Given colon space AB parallel to CD
To space prove colon space AC equals BD
Proof colon space AB parallel to CD space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space given
space space space space space space space space space space space space space angle ABC equals angle BCD space space space and space angle BAD equals angle ADC space space space space space space space space space space space space space space space space space Alternate space angles
space space space space space space space space space space space space space chord space AC equals chord space BD space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space AB parallel to CD
space space space space space space space space space space space space space AC equals BD end style

Answered by Sneha shidid | 15th Jan, 2018, 01:10: PM