Answer :

Given that,

CD bisected AB at O


To prove: Area () = Area ()


Construction: CP perpendicular to AB and DQ perpendicular to AB


Proof: Area ( = (AB * CP) (i)


Area ( = (AB * DQ) (ii)


In , we have


CPO = DQO (Each 90o)


Given that,


CO = DO


COP = DOQ (Vertically opposite angle)


Then, by AAS congruence rule



Therefore,


CP = DQ (By c.p.c.t)


Thus,


Area ( = Area ()


Hence, proved


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