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ARYAN.....PVT.....LTD......
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Step-by-step explanation:
Given:
AC = AE ...(1)
AB = AD ...(2)
L BAD = L EAC
To prove: BC = DE
Proof:
Given that
L BAD = L EAC
L BAD +L DAC = L EAC + L DAC
L BAC = L DAE ...(3)
In AABC and AADE,
AB = AD (from (2))
L BAC = L DAE (from (3))
AC = AE (from (1))
Δ ABC ≅ Δ ADE (SAS congruence rule)
∴ BC = DE (cpct)
Hence proved
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