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Question 10 (i)
CD and GH are respectively the bisectors of ACB and EGF such that D and H lie on sides AB and FE of ΔABC and ΔEFG respectively. If ΔABCΔFEG, Show that
(i)CDGH=ACFG

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Solution


(i) It is given that ΔABCΔFEG.
A=F,B=E,andACB=FGE
ACD=FGH (Angle bisector)
And, DCB=HGE (Angle bisector)

In ΔACD and ΔFGH,
A=F
ACD=FGH
ΔACDΔFGH (By AAA similarity criterion)
CDGH=ACFG

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