Q. 1105.0( 2 Votes )
State whether the
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)
⸫ 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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