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CBSE Class 9 Answered

show that in a right angled triangle, the hypotenuse is the longest side.
 
Asked by mahendra_soniya | 17 Aug, 2015, 06:15: PM
answered-by-expert Expert Answer
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 space A B C.
I n space a space r i g h t space t r i a n g l e comma space o n e space o f space t h e space a n g l e space i s space 90 degree. A n d space t h e space o t h e r space t w o space a n g l e s space a r e space a c u t e space a n g l e s space c o m p l e m e n t a r y space t o space e a c h space o t h e r. S o comma space o t h e r space t w o space a n g l e s space a r e space l e s s space t h a n space 90 degree. H e n c e space t h e space l a r g e s t space a n g l e space i n space a space r i g h t space t r i a n g l e space i s space 90 degree. W e space k n o w space t h a t space t h e space s i d e space o p p o s i t e space t o space t h e space l a r g e s t space a n g l e space i s space t h e space l o n g e s t space s i d e. I n space t h e space f i g u r e comma space a n g l e space B space i s space t h e space r i g h t space t r i a n g l e. A n d space t h e space s i d e space o p p o s i t e space t o space angle B comma space A C space i s space t h e space l o n g e s t space s i d e. T h a t space i s comma space h y p o t e n u s e space i s space t h e space l o n g e s t space s i d e.
Answered by Vimala Ramamurthy | 18 Aug, 2015, 09:01: AM
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