If the diagonals of a rhombus are 12cm and 16cm, find the length of each side.
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If the diagonals of a rhombus are 12cm and 16cm, find the length of each side.
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Answer:
In rhombus ABCD, diagonals AC and BD bisect each other at O at right angles.
AC= 16 cm. BD = 12 cm
∴
A
O
=
O
C
=
16
2
=
8
c
m
B
O
=
O
D
=
12
2
=
6
c
m
B
O
=
O
D
=
12
2
=
6
c
m
Now, in right angled
Δ
A
O
B
,
A
B
2
=
A
O
2
+
B
O
2
=
(
8
)
2
+
(
6
)
2
=
64
+
36
=
100
=
(
10
)
2
∴
A
B
=
10
c
m
∴
Each side of rhombus = 10 cm