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TOT 1999 Spring AJ5 T lies on angle bisector, incircle related

Source:

May 11, 2020

geometryangle bisectorincircle

Problem Statement

The sides

AB

and

AC

are tangent at points

P

and

Q

, respectively, to the incircle of a triangle

ABC. R

and

S

are the midpoints of the sides

AC

and

BC

, respectively, and

T

is the intersection point of the lines

PQ

and

RS

. Prove that

T

lies on the bisector of the angle

B

of the triangle.
(M Evdokimov)

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