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CBSE Class 9 Answered

the lengths of the diagonal of a rhombus are 24 cm and 18 cm respectively. find the length of each side of the rhombus
Asked by dev | 10 Nov, 2014, 08:26: PM
answered-by-expert Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
A B C D space i s space a space r h o m b u s. R h o m b u s space i s space a space p a r a l l e log r a m comma space a n d space i n space a space p a r a l l e log r a m space d i a g o n a l s space b i s e c t space e a c h space o t h e r space p e r p e n d i c u l a r l y. A C space a n d space B D space b i s e c t space a t space O. A n d space h e n c e space triangle D O C space i s space a space r i g h t space t r i a n g l e. U sin g space P y t h a g o r a s space T h e o r e m comma space w e space h a v e comma D O squared plus O C squared equals C D squared rightwards double arrow 12 squared plus 9 squared equals C D squared rightwards double arrow 144 plus 81 equals C D squared rightwards double arrow 225 equals C D squared rightwards double arrow C D equals 15 S i n c e space a l l space t h e space s i d e s space o f space t h e space r h o m b u s space a r e space e q u a l comma space w e space h a v e comma A B equals B C equals C D equals A D equals 15 space c m
Answered by Vimala Ramamurthy | 11 Nov, 2014, 09:30: AM

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