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In , points and are on and respectively with . Points on and on are chosen such that…
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
P
Q
R
\triangle PQR
△
P
QR
, points
S
S
S
and
T
T
T
are on
P
Q
PQ
P
Q
and
P
R
PR
P
R
respectively with
S
T
∥
Q
R
ST \parallel QR
S
T
∥
QR
. Points
U
U
U
on
P
S
PS
P
S
and
V
V
V
on
P
T
PT
P
T
are chosen such that
U
V
∥
S
T
UV \parallel ST
U
V
∥
S
T
. If
P
U
=
2
cm
PU = 2\,\text{cm}
P
U
=
2
cm
,
U
S
=
3
cm
US = 3\,\text{cm}
U
S
=
3
cm
,
S
Q
=
7
cm
SQ = 7\,\text{cm}
S
Q
=
7
cm
and
T
R
=
9
cm
TR = 9\,\text{cm}
T
R
=
9
cm
, calculate the length of
P
V
PV
P
V
.
Related theory
Similarity of Triangles
Similarity
Basic Proportionality Theorem
Basic Proportionality Theorem (BPT)
Triangles
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