Changes

==Algoritham==

==Algoritham==

In ∆AOB  

In ∆AOB <br>

AO=BO  [Radii of a same circle]

AO=BO  [Radii of a same circle]<br>

∴ ∠OAB = ∠OBA --------------I [∆AOB is an isosceles ∆}

∴ ∠OAB = ∠OBA --------------I [∆AOB is an isosceles ∆}<br>

Then,  

Then,  

         In ∆AOP and ∆BOP,

         In ∆AOP and ∆BOP,<br>

AO = BO  [Radii of a same circle]

AO = BO  [Radii of a same circle]<br>

OP=OP  [common side]

OP=OP  [common side]<br>

∠OAP = ∠OBP    [ from I]

∠OAP = ∠OBP    [ from I]<br>

∴ ∆AOP ≅ ∆BOP [SAS postulate]   

∴ ∆AOP ≅ ∆BOP [SAS postulate]  <br>

∴  AP = BP [corresponding sides of congruent triangles ]

∴  AP = BP [corresponding sides of congruent triangles ]