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CBSE Class 6 Answered

O is the centre of the circle and L and M are the mid points of AB and CB respectively .if angle OAB=angle OCB, prove that BL=BM
Asked by Lavie | 24 Feb, 2015, 06:38: PM
answered-by-expert Expert Answer

I n space triangle A L O space a n d space triangle O C M comma O A equals O C space left square bracket 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 square bracket angle O A L equals angle O C M space left square bracket G i v e n right square bracket angle O L A equals angle O M C space equals 90 degree space left square bracket l e n g t h space o f space b i s e c t o r space o f space c h o r d space i s space perpendicular r space t o space t h e space c h o r d right square bracket increment A L O space approximately equal to increment O C M space left square bracket A A S space c o n g r u e n c y right square bracket therefore A L equals C M space left square bracket b y space C P C T right square bracket B L equals B M space left square bracket L space a n d space M space a r e space t h e space m i d p o i n t s space o f space A B space a n d space B C space r e s p e c t i v e l y right square bracket

Answered by | 24 Feb, 2015, 06:58: PM

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