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Question

In figure, if ABEACD, prove that ADEABC.

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Solution

It is given that
ABEACD
AB=AC[ Corresponding parts of congruent triangle are equal]
and, AE=AD
ABAD=ACAE
ABAD=ADAE
Thus, in triangles ADE and ABC, we have
ABAC=ADAE
and BAC=DAE[common]
Hence, by SAS-criteria of similarity, we have
ADEABC


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