Question

in the given figure of AP and AQ are tangents and AP = 10 cm. Find the perimeter of triangle AXY​

Answer 1

Answer:

Join OA.

Triangles OPA and OQA are congruent.

⇒∠PAO=∠QAO=45  

o

 

Tangent and radius are perpendicular at the point of contact.

∠OPA=90  

o

 

⇒∠OAP=∠AOP=45  

o

 

⇒OP=AP=4cm

So the radius of the circle is 4 cm.