pqr is an isosceles traingle in which pq = pr, o is a point such that q0 = r0 prove that po bisects angle qpr

We have the following diagram-

We have,

PQ = PR

So,

 .......(1)

Now,

OQ = OR

 ........(2)

From equation (1) and (2),

 .......(3)

In triangle POQ and POR,

PO = PO

OQ = OR

So,  by SAS.

So, by corresponding part of congruent triangle.

 Hence OP bisects angle P.

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