Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
,
P
Q
=
P
R
PQ = PR
P
Q
=
P
R
. A line segment
P
S
PS
P
S
is drawn inside the triangle such that
∠
Q
P
S
=
∠
S
P
R
\angle QPS = \angle SPR
∠
QP
S
=
∠
S
P
R
. Which of the following statements is correct? a)
Q
S
>
S
R
QS > SR
QS
>
S
R
b)
Q
S
=
S
R
QS = SR
QS
=
S
R
c)
Q
S
=
Q
R
2
QS = \dfrac{QR}{2}
QS
=
2
QR
d)
Q
S
<
S
R
QS < SR
QS
<
S
R
Browse the problem library