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Triangle XYZ has sides
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
Triangle XYZ has sides
X
Y
=
18
cm
XY = 18\,\text{cm}
X
Y
=
18
cm
,
X
Z
=
30
cm
XZ = 30\,\text{cm}
X
Z
=
30
cm
and
Y
Z
=
24
cm
YZ = 24\,\text{cm}
Y
Z
=
24
cm
. Points
P
P
P
on
X
Y
XY
X
Y
and
Q
Q
Q
on
X
Z
XZ
X
Z
are chosen so that
P
Q
∥
Y
Z
PQ \parallel YZ
P
Q
∥
Y
Z
. If
X
P
=
6
cm
XP = 6\,\text{cm}
X
P
=
6
cm
, calculate
X
Q
XQ
X
Q
.
Related theory
Similarity of Triangles
Similarity
Basic Proportionality Theorem
Basic Proportionality Theorem (BPT)
Triangles
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