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Byju's Answer
Standard IX
Mathematics
Trapezium
In quadrilate...
Question
In quadrilateral
A
B
C
D
, side
A
B
is the longest
and side
D
C
is the shortest. Hence,
∠
D
>
∠
B
If true enter 1 else 0.
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Solution
In
△
A
B
D
AB >
AD
∠
B
D
A
>
∠
D
B
A
(Angle opposite to the greater side is greater) ...(1)
In
△
B
D
C
B
C
>
C
D
=
>
∠
B
D
C
>
∠
C
B
D
(Angle opposite to the greater side is greater) ...(2)
On adding
equations (1) and (2), we obtain
∠
B
D
C
+
∠
B
D
A
>
∠
D
B
A
+
∠
C
B
D
=
>
∠
D
>
∠
B
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0
Similar questions
Q.
State true or false:
In quadrilateral
A
B
C
D
, side
A
B
is the longest
and side
D
C
is the shortest. Hence,
∠
C
>
∠
A
If true enter 1 else 0
Q.
In quadrilateral ABCD, if side DC is largest then
A
B
+
A
D
>
D
C
−
B
C
If the above statement is true then mention answer as 1, else mention 0 if false
Q.
In quadrilateral ABCD, AB is the longest side CD is the shortest side. Prove that
∠
A
>
∠
C
.
Q.
In quadrilateral ABCD, AB=DC and AD= BC, and the side AB and DC are parallel to each other.
If the above statement is true for any such quadrilateral to exist then mention the answer as 1, else mention 0 if false.
Q.
In quadrilateral ABCD, side AB is parallel to side DC. If
∠
A
:
∠
D
=
1
:
2
and
∠
C
:
∠
B
=
4
:
5
.
Assign a special name to quadrilateral
ABCD.
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