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In ( ABC ), a point (D ) divides (AB ) in the ratio (3m:2m ) and a point (E ) divides…
MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, a point
D
D
D
divides
A
B
AB
A
B
in the ratio
3
m
:
2
m
3m:2m
3
m
:
2
m
and a point
E
E
E
divides
A
C
AC
A
C
in the same ratio
3
n
:
2
n
3n:2n
3
n
:
2
n
. Given that
A
B
=
35
cm
AB = 35\,\text{cm}
A
B
=
35
cm
and
A
C
=
25
cm
AC = 25\,\text{cm}
A
C
=
25
cm
, find the ordered pair
(
m
,
n
)
(m, n)
(
m
,
n
)
that makes
D
E
DE
D
E
parallel to
B
C
BC
B
C
. (a)
(
7
,
4
)
(7,4)
(
7
,
4
)
(b)
(
7
,
5
)
(7,5)
(
7
,
5
)
(c)
(
7
,
7
)
(7,7)
(
7
,
7
)
(d)
(
5
,
7
)
(5,7)
(
5
,
7
)
Related theory
Ratios
Ratio and Proportion
Basic Proportionality Theorem
Similarity
Basic Proportionality Theorem (BPT)
Triangles
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