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Oct 2, 2013

# Bisectors of angles B and C of a triangle ABC intersect each other at O .

Bisectors  of angles B and C of a triangle ABC intersect each other at the point O . prove

Agam Gupta

Member since Sep 21, 2013

 In Î”ABC, by angle sum property we have 2x + 2y + âˆ A = 180Â° â‡’ x + y + (âˆ A/2) = 90Â° â‡’ x + y = 90Â° â€“  (âˆ A/2)  Ã  (1) In Î”BOC, we have  x + y + âˆ BOC = 180Â° 90Â° â€“ (âˆ A/2) + âˆ BOC = 180Â° [From (1)] âˆ BOC = 180Â° â€“ 90Â° + (âˆ A/2) âˆ BOC = 90Â° + (âˆ A/2)

Kishore Kumar

Member since

 In Î”ABC, by angle sum property we have 2x + 2y + âˆ A = 180Â° â‡’ x + y + (âˆ A/2) = 90Â° â‡’ x + y = 90Â° â€“  (âˆ A/2)  Ã  (1) In Î”BOC, we have  x + y + âˆ BOC = 180Â° 90Â° â€“ (âˆ A/2) + âˆ BOC = 180Â° [From (1)] âˆ BOC = 180Â° â€“ 90Â° + (âˆ A/2) âˆ BOC = 90Â° + (âˆ A/2)
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