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In , points on and on are joined so that . Given , and , calculate the length…
MATHEMATICS · Subjective · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
X
Y
Z
\triangle XYZ
△
X
Y
Z
, points
U
U
U
on
X
Y
XY
X
Y
and
V
V
V
on
X
Z
XZ
X
Z
are joined so that
U
V
∥
Y
Z
UV \parallel YZ
U
V
∥
Y
Z
. Given
X
Y
=
12
cm
XY = 12\,\text{cm}
X
Y
=
12
cm
,
X
Z
=
18
cm
XZ = 18\,\text{cm}
X
Z
=
18
cm
and
X
U
=
5
cm
XU = 5\,\text{cm}
X
U
=
5
cm
, calculate the length
X
V
XV
X
V
.
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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