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Byju's Answer
Standard X
Mathematics
Converse of Basic Proportionality Theorem
State whether...
Question
State whether the given statement is true or false
A triangle ABC in which DE||BC, and intersects AB in D and AC in E
Hence,
A
D
D
B
=
A
E
E
C
A
True
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B
False
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Solution
The correct option is
A
True
Since,
△
A
B
C
≅
△
M
N
P
,
By CPCT we can say that,
Side
A
B
≅
Side MN,
Side BC
≅
Side NP,
Side AC
≅
Side MP,
∠
A
≅
∠
M
,
∠
B
≅
∠
N
,
∠
C
≅
∠
P
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Similar questions
Q.
State whether the given statement is true or false
A triangle ABC in which DE||BC, and intersects AB in D and AC in E
Hence,
A
B
A
D
=
A
C
A
E
Q.
A triangle ABC in which DE||BC, and intersects AB in D and AC in E
Hence,
A
B
D
B
=
A
C
E
C
Q.
In triangle ABC, D and E are two points on AB and AC respectively. If AD : DB = 2 : 5 and DE || BC, then what is AE : EC ?
Q.
In
△
ABC, D and E are points on sides AB and AC respectively such that AD
×
EC = AE
×
DB. Prove that DE
∥
BC.
Q.
If in a
△
A
B
C
, a line
D
E
|
|
B
C
, intersects
A
B
in
D
and
A
C
in
E
, then
A
B
A
D
=
A
C
A
E
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