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Byju's Answer
Standard IX
Mathematics
The Mid-Point Theorem
ABC and BDE...
Question
A
B
C
and
B
D
E
are two equilateral triangles such that
D
is the mid-point of
B
C
. Ratio of the areas of triangles
A
B
C
and
B
D
E
is
A
2
:
1
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B
1
:
2
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C
4
:
1
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D
1
:
4
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Solution
The correct option is
D
4
:
1
A
r
e
a
Δ
B
D
E
A
r
e
a
Δ
A
B
C
=
(
x
2
x
)
2
=
1
4
Δ
A
B
C
:
Δ
B
D
E
=
4
:
1
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0
Similar questions
Q.
ABC and BDE are two equilateral triangles such that D is the mid point of BC. Ratio of the areas of triangles ABC and BDE is
(a) 1 : 2
(b) 2 : 1
(c) 1 : 4
(d) 4 : 1
Q.
∆ABC and ∆BDE are two equilateral triangles such that D is the mid-point of BC. The ratio of the areas of triangle ABC and BDE is
(a) 2 : 1
(b) 1 : 2
(c) 4 : 1
(d) 1 : 4