CBSE Class 10 Maths (Basic) 2024 · Paper 430/4/1 · Question 34(b)

Triangles 5 marks Very hard

CD and GH are respectively the bisectors of

∠ A C B

and

∠ E GF

such that D and H lie on sides AB and FE of

△ A B C

and

△ F E G

respectively. If

△ A B C \sim △ F E G

, show that :

Answer

(i) Since

△ A C D \sim △ F G H

(AA),

\frac{C D}{G H} = \frac{A C}{F G}

; (ii)

△ D C B \sim △ H GE

by AA, as

∠ D C B = ∠ H GE

and

∠ B = ∠ E

. Hence proved.

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