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Please answer ex -6.3 question no.10 …

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Please answer ex -6.3 question no.10 page no.140...
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Gaurav Seth 5 years, 3 months ago

Class 10 Maths Exercise 6.3

10. CD and GH are respectively the bisectors of ACB and EGF such that D and H lie on sides AB and FE at ABC and EFG respectively. If ABC FEG, show that:

(i) 

(ii) DCB HE

(iii) DCA HGF

Ans. We have, ABC  FEG

 A = F………(1)

And C = G

 C = G

 1 = 3 and 2 = 4 ……….(2)

[CD and GH are bisectors of C and G

respectively]

 In s DCA and HGF, we have

A = F[From eq.(1)]

2 = 4[From eq.(2)]

 By AA-criterion of similarity, we have

DCA  HGF

Which proves the (iii) part

We have,DCA  HGF

 

Which proves the (i) part

In s DCA and HGF, we have

1 = 3[From eq.(2)]

B = E[ DCB  HE]

Which proves the (ii) part

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