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Asked by Shreyas Pande | 23rd Feb, 2014, 12:00: PM

Expert Answer:

Consider the following figure.
 
Join AC, OA, OB and OC.
 
Given that BO is the angle bisector of angle ABC.
 
That is, angle O B A equals angle O B C.
 
Here OB and OC are the radii of the circle.
 
Angles opposite to equal sides are equal.
 
Therefore, angle O B C equals angle O C B
Again, OC and OA are the radii of the circle and hence, angle O C A equals angle O A C
Also, OB and OA are the radii of the circle and so, angle O A B equals angle O B A
 
Thus, from the above equations of angles, angle A equals angle B equals angle C
Sides opposite to equal angles are equal and hence AB=AC.

Answered by  | 25th Feb, 2014, 09:00: AM

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