Answer :

FALSE


Consider rhombus ABCD,


You know that , AB=BC=CD=AD


Now , in ΔAED and ΔCED,


EA = EC (diagonals of a parallelogram bisect each other)


ED= ED (common)


AD=CD


ΔAED is congruent to ΔCED (SSS)


This gives that AED = CED (CPCT)


But, AED + CED = 180° (linear pair)


So , 2 × AED = 180°


AED = 90°


So , the diagonals of rhombus are only perpendicular to each other.


the diagonals of rhombus are perpendicular but not equal.


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