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Mathematics
Mathematics
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
with
P
Q
=
P
R
PQ = PR
P
Q
=
P
R
, point S lies on side
Q
R
QR
QR
such that
P
S
PS
P
S
bisects
∠
Q
P
R
\angle QPR
∠
QP
R
. Prove that
Q
S
=
S
R
QS = SR
QS
=
S
R
.
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