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AnilSinghBora
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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 ΔABC ~ ΔFEG, Show that:(iii) ΔDCA ~ ΔHGF Q.10(3)

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How i solve this tough question of exercise 6.3 of triangles chapter of class 10th math. This is very tough question  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 ΔABC ~ ΔFEG, Show that:(iii) ΔDCA ~ ΔHGF

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  1. In ΔDCA and ΔHGF,

    ∠ACD = ∠FGH (Already proved)

    ∠A = ∠F (Already proved)

    ∴ ΔDCA ~ ΔHGF (AA similarity criterion)

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