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In , point lies on and point on such that . Inside , point is on and point on with .…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, point
D
D
D
lies on
A
B
AB
A
B
and point
E
E
E
on
A
C
AC
A
C
such that
D
E
∥
B
C
DE\parallel BC
D
E
∥
B
C
. Inside
△
A
D
E
\triangle ADE
△
A
D
E
, point
F
F
F
is on
A
D
AD
A
D
and point
G
G
G
on
A
E
AE
A
E
with
F
G
∥
D
E
FG\parallel DE
F
G
∥
D
E
. If
A
D
=
5
cm
AD = 5\,\text{cm}
A
D
=
5
cm
,
D
B
=
10
cm
DB = 10\,\text{cm}
D
B
=
10
cm
,
A
F
=
3
cm
AF = 3\,\text{cm}
A
F
=
3
cm
,
F
D
=
2
cm
FD = 2\,\text{cm}
F
D
=
2
cm
and
A
G
=
6
cm
AG = 6\,\text{cm}
A
G
=
6
cm
, determine the length of
A
C
AC
A
C
. (a)
24
cm
24\ \text{cm}
24
cm
(b)
30
cm
30\ \text{cm}
30
cm
(c)
20
cm
20\ \text{cm}
20
cm
(d)
40
cm
40\ \text{cm}
40
cm
Related theory
Basic Proportionality Theorem
Similarity
Similarity of Triangles
Triangle similarity conditions
Triangles
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