discovery  of  pyhogorus   theoram   

Asked by parmarneetu24 | 18th Nov, 2014, 03:08: PM

Expert Answer:

P y t h a g o r a s space T h e o r e m space s t a t e s space t h a t : I n space a space t r i a n g l e space A B C space w i t h space s i d e s space a space a n d space b space a n d space w i t h space h y p o t e n u s e space c comma space w e space h a v e : a squared plus b squared equals c squared P y t h a g o r a s space T h e o r e m space c a n space a l s o space b e space s t a t e d space a s space f o l l o w s : A space l a r g e space s q u a r e space o f space s i d e space a plus b space i s space d i v i d e d space i n space t o space t w o space s m a l l e r space s q u a r e s space o f space s i d e s space a space a n d space b space r e s p e c t i v e l y space a n d space t w o space e q u a l r e c tan g l e s space w i t h space s i d e s space a space a n d space b. T h e space a r e a s space o f space e a c h space o f space t h e s e space t w o space r e c tan g l e s space c a n space b e space s p l i t space i n t o space t w o space e q u a l space r i g h t space t r i a n g l e s space b y space d r a w i n g space t h e space d i a g o n a l space c. T h e space f o u r space t r i a n g l e s space c a n space b e space a r r a n g e d space w i t h i n space a n o t h e r space s q u a r e space o f space s i d e space a plus b. space

Answered by Vimala Ramamurthy | 19th Nov, 2014, 10:21: AM