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O is the centre of the circle, BO is the bisector of angle ABC. Show that AB= AC |
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Answer» BO is BISECTOR of angle ABC then, angle ABO=angle CBO.........,(1)radius of circles=OB=OA=OB=OCangle OAB=angle OCB........(2). (opposite angle to equal SIDE)angle ABO=angle DAB.........(3). ( ,,) from equation (1) (2) (3), we getangle OAB=angle OCB....(4)In triangle OAB And triangle OCBangle OAB=angle OCB (from 4)OB=OB.....( COMMON)angle OBA=angle OBC....(given)by AAS conditiontriangle OAB= triangle OCBSo AB=AC ...(by CPCT) |
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