MathDB

2020 Team 7

Source:

February 2, 2020

team2020

Problem Statement

Points

P

and

Q

lie on a circle

\omega

. The tangents to

\omega

at

P

and

Q

intersect at point

T

, and point

R

is chosen on

\omega

so that

T

and

R

lie on opposite sides of

PQ

and

\angle PQR = \angle PTQ

. Let

RT

meet

\omega

for the second time at point

S

. Given that

PQ = 12

and

TR = 28

, determine

PS

.

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