Question
Tue September 08, 2009 By:

In an isoceles triangle ABC, with AB = AC, the bisectors of  B and

triangles

Expert Reply
Wed September 09, 2009

 

To prove OB = OC we need to prove that ODB OEC

Now, ODB  OEC

Since DOB = COE ......(1)

and DBO = ECO  .......(2)

Now in DBC and EBC

ODB = OEC        (By cpct)

 ABC = ACB         (sides of an isoceles triangle)

BC is common

DBCEBC     (AAS congruency)

BD = EC .......(3)

DC = EC  

ODB OEC           (from 1,2,3)

⇒ OB = OC

Similarly do the (ii) part.

In case you get stuck post each query individually.

 

 

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