Question

O is the centre of a circle which has two chords BA and BC with point B on the circumference of the circle.If OB bisects angle ABC,prove that AB=AC

Answer 1

construct diameter BD
construct a chord AE perpendicular to BD
AB is congruent to BE as corresponding parts

Answer 2

conclude that E and C are the same point on the circle.

Answer 3

is there is another way to solve it

Answer 4

i can't think of another.

Answer 5

k