Question

prove that tangent segments drawn from external point to circle are congruent.​

Answer 1

Answer:

Please answer note down in brain list.

Answer 2

Given : Tangent segments drawn from an external point to a circle are congruent  

To Find :  Prove it

Solution:

Let say A circle with center  O

and Tangent from external point P

PA & PB are tangent

=> ∠PAO = 90°  ,  ∠PBO = 90°

in ΔOPA & ΔOPB

OA = OB   Radius of circle

OP = OP   common

∠PAO  = ∠PBO = 90°

=> ΔOPA ≅ ΔOPB   (RHS)

=> PA = PB   ( CPCT )

Hence  tangent segments drawn from an external point to a circle are congruent

QED

Proved

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