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In ( ABC ), a line through (D ) on (AB ) and (E ) on (AC ) meets the sides such that…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, a line through
D
D
D
on
A
B
AB
A
B
and
E
E
E
on
A
C
AC
A
C
meets the sides such that
A
D
=
2
x
−
3
cm
AD = 2x - 3\,\text{cm}
A
D
=
2
x
−
3
cm
,
D
B
=
x
cm
DB = x\,\text{cm}
D
B
=
x
cm
,
A
E
=
5
cm
AE = 5\,\text{cm}
A
E
=
5
cm
and
E
C
=
3
cm
EC = 3\,\text{cm}
E
C
=
3
cm
. If the line is parallel to
B
C
BC
B
C
, find the value of
x
x
x
. (a)
x
=
6
x = 6
x
=
6
(b)
x
=
3
x = 3
x
=
3
(c)
x
=
4
x = 4
x
=
4
(d)
x
=
9
x = 9
x
=
9
Related theory
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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