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Byju's Answer
Standard IX
Mathematics
Properties of Diagonal of a Parallelogram
Draw parallel...
Question
Draw parallelogram
A
B
C
D
with the following measurements and calculate its area.
A
B
=
7
c
m
,
A
C
=
10
c
m
and
∠
AOB =
100
o
where
¯
¯¯¯¯¯¯
¯
A
C
and
¯
¯¯¯¯¯¯¯
¯
B
D
intersect at O.
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Solution
Area of parallelogram ABCD
=
2
×
a
r
△
A
B
C
a
r
△
A
B
C
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
s
=
a
+
b
+
c
2
=
7
+
6.4
+
10
2
=
11.7
c
m
a
r
△
A
B
C
=
√
11.7
×
4.7
×
5.3
×
1.7
=
22.25
c
m
2
∴
Area of parallelogram ABCD
=
2
×
22.25
=
44.50
c
m
2
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