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National and Regional Contests
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India IOQM
2020-21 IOQM India
1
1
Part of
2020-21 IOQM India
Problems
(1)
[ABCD] = n [CDE], areas in trapezoid - IOQM 2020-21 p1
Source:
1/18/2021
Let
A
B
C
D
ABCD
A
BC
D
be a trapezium in which
A
B
∥
C
D
AB \parallel CD
A
B
∥
C
D
and
A
B
=
3
C
D
AB = 3CD
A
B
=
3
C
D
. Let
E
E
E
be then midpoint of the diagonal
B
D
BD
B
D
. If
[
A
B
C
D
]
=
n
×
[
C
D
E
]
[ABCD] = n \times [CDE]
[
A
BC
D
]
=
n
×
[
C
D
E
]
, what is the value of
n
n
n
? (Here
[
t
]
[t]
[
t
]
denotes the area of the geometrical figure
t
t
t
.)
geometry
trapezoid
areas