Question

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

Answer 1

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

Learn More:

let o be any interior point of an equilateral triangle ABC .Show that 2 ...

brainly.in/question/11022661

find the incentre of Triangle formed by the vertices (0,0)(5,-1),(-2,3 ...

brainly.in/question/14969166