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In , a line intersects at and at . If , what can be concluded about…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
, a line intersects
P
Q
PQ
P
Q
at
S
S
S
and
P
R
PR
P
R
at
T
T
T
. If
P
S
S
Q
=
P
T
T
R
\dfrac{PS}{SQ}=\dfrac{PT}{TR}
S
Q
P
S
=
T
R
P
T
, what can be concluded about
S
T
ST
S
T
? (a)
S
T
ST
S
T
bisects
∠
P
\angle P
∠
P
(b)
S
T
ST
S
T
is the median to
Q
R
QR
QR
(c)
S
T
∥
Q
R
ST\parallel QR
S
T
∥
QR
(d)
S
T
⊥
Q
R
ST\perp QR
S
T
⊥
QR
Related theory
Basic Proportionality Theorem
Similarity
Properties of Triangles
Basic Proportionality Theorem (BPT)
Triangles
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