Question

9. In the given figure, triangles ABC and DCB are right-
angled at A and D respectively and AC = DB.
Prove that AABC = ADCB.​

Answer 1

Step-by-step explanation:

Given, ∆ABC and ∆DCB are right angled at A and D.

AB = DC

To prove : ∆ ABC congruent ∆DBC

Proof

In ∆ABC and ∆DBC

AB = CD ( given )

BC = BC. ( Common)

Therefore, by RHS criteria

∆ABC congruent ∆DBC

By CPCT

Hence proved

Answer 2

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