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CBSE Class 8 Answered

phythagon theroum
Asked by adityavinayak48 | 16 Feb, 2015, 04:59: 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 d i a g r a m.

C o n s i d e r space a space r i g h t space t r i a n g l e. I n space t r i a n g l e space A B C comma space A C space i s space t h e space h y p o t e n u s e space o f space t h e space t r i a n g l e comma space B C space t h e space b a s e space a n d space A B space t h e p e r p e n d i c u l a r. T h e n space b y space P y t h a g o r a s space T h e o r e m comma space H y p o t e n u s e squared equals P e r p e n d i c u l a r squared plus B a s e squared rightwards double arrow A C squared equals A B squared plus B C squared N o w space c o n s i d e r space t h e space t r i a n g l e space w i t h space s i d e s space 3 comma 4 space a n d space 5 H e r e comma 5 squared equals 3 squared plus 4 squared T h u s comma space 3 comma 4 comma 5 space i s space c a l l e d space a space P y t h a g o r e a n space t r i p l e t. S o space g e n e r a l space f o r m space c a n space b e space 3 k comma 4 k space a n d space 5 k comma space k space i s space a n y space n a t u r a l space n u m b e r.

Answered by | 16 Feb, 2015, 05:01: PM

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