In the figure given below AC = AE; AB = AD and ∠BAD = ∠EAC. Show – InterviewSolution

InterviewSolution

1.

In the figure given below AC = AE; AB = AD and ∠BAD = ∠EAC. Show that BC = DE.

Answer»

Given that AC = AE, AB = AD and

∠BAD = ∠EAC

In ΔABC and ΔADE

AB = AD

AC = AE

∠BAD = ∠EAC

∴ ΔABC ≅ ΔADE (∵ SAS congruence)

⇒ BC = DE (CPCT)

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