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Question

CD and GH are respectively the bisectors of ACB and EGF such that D and H lie on the sides AB and FE of ABC and EFG. If ABCEFG, show that,CDGH=ACFG.

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Solution

given ΔABCΔEFG
A =E, B =F,C =G
A =E
12 C= 12G
in triangle ΔADC and ΔFGH
we have A=F and ACD=HGF
applying triangle sum properties we have
ADC=FGH
ΔADGΔFHG
CDGH =ACFG

1101475_1027036_ans_ae1ba234c4fa4b23a4fbd0b722d7c5a5.PNG

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