BD is the diameter of circle
AB and BC are 2 equal chords.will BD bisect the angle ABC

Asked by lovemaan5500 | 26th Dec, 2017, 12:22: PM

Expert Answer:

begin mathsize 16px style Given colon BD space is space diameter space with space centre space is space straight O space of space the space circle.
space space space space space space space space space space space space space space AB space and space BC space are space equal space chords. space
To space prove colon space BD space is space bisector space of space angle ABC.
Construction colon space Join space OA space and space OC.
Proof colon space In space increment ABO space and space increment CBO comma
space space space space space space space space space space space space space space AB equals BC space space space space space space space space space space space space space space space space space space space space space space Given
space space space space space space space space space space space space space space OA equals OC space space space space space space space space space space space space space space space space space space space space space radii space of space the space same space circle
space space space space space space space space space space space space space space BO equals BO space space space space space space space space space space space space space space space space space space space space Common space side
space space space space space space space space space space space space space space increment ABO approximately equal to increment CBO space space space space space space space SSS
space space space space space space space space space space space space space space angle ABO equals angle CBO space space space space space space straight c. straight p. straight c. straight t
space space space space space space space space space space space space space space Hence comma space BD space is space bisector space of space angle ABC end style

Answered by Sneha shidid | 26th Dec, 2017, 01:07: PM