Q

Asked by araima2001 | 30th Dec, 2015, 10:38: AM

Expert Answer:

I n space t h e space d i a g r a m space s h o w n comma space O space a n d space P space a r e space t h e space c e n t r e s space o f space t w o space c i r c l e s. C D space a n d space A B space a r e space c o m m o n space tan g e n t s. O D space a n d space P D space a r e space j o i n e d. N o w space i n space triangle O A D space a n d triangle O C D O A equals O C space left parenthesis r a d i u s space o f space t h e space s a m e space c i r c l e right parenthesis angle O A D equals angle O C D equals 90 degree O D equals O D H e n c e comma triangle O A D space approximately equal to triangle O C D space left parenthesis b y space R minus H minus S space c o n g r u e n c y right parenthesis H e n c e comma space A D equals C D space left parenthesis c o n g r u e n t space s i d e s right parenthesis.... left parenthesis 1 right parenthesis S i m i l a r l y comma space w e space c a n space s h o w space t h a t space triangle D B P space approximately equal to triangle D C P H e n c e comma space D B equals C D space left parenthesis c o n g r u e n t space s i d e s right parenthesis.... left parenthesis 2 right parenthesis A d d i n g space left parenthesis 1 right parenthesis space a n d space left parenthesis 2 right parenthesis comma space w e space g e t A D plus D B equals 2 C D rightwards double arrow A B equals 2 C D equals 2 cross times 4 equals 8 space c m

Answered by satyajit samal | 30th Dec, 2015, 12:34: PM

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