Q. 14.0( 9 Votes )

A square is inscr

Answer :


Given, ΔABC with A = 90 and


AB = AC …(i)


Let ADEF is a square,


AD = AF = EF = AD …(ii)


Subtracting eqn (ii) from (i),


AB-AD = AC-AF


BD = CF


Now, in ΔCFE and ΔEDB,


BD = CF


DE = EF


CFE = EDB = 90 (Side of square)


ΔCEF BED (By SAS)


CE = BE


Hence, vertex E of the square bisect the hypotenuse BC.


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