Calculate the length of the diagonal of a rectangle whose sides are 8 cm and 6 cm
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Answers
Answer:
It is not possible to find the sides of a parallelogram with the measures of two diagonals only.
Step-by-step explanation:
Explanation:
Insufficient information. It is not possible to find the sides of a parallelogram with the measures of two diagonals only. It requires at what angle the diagonals intersect to use the pythagoras theorem.
Since Rhombus is a special case of a parallelogram, we can assume ithe shape to be a Rhombus and find the sides.
Area of Rhombus
A
R
=
a
2
=
(
1
2
)
d
1
⋅
d
2
where 'a' is the side of the rhombus and
d
1
and
d
2
the diagonals.
We know
d
1
=
6
c
m
,
d
2
=
8
c
mwhere 'a' is the side of the rhombus and
d
1
and
d
2
the diagonals.
We know
d
1
=
6
c
m
,
d
2
=
8
c
m
∴
a
2
=
(
1
2
)
⋅
6
⋅
8
=
24
or
a
=
√
24
c
m
Perimeter of Rhombus
P
R
=
4
⋅
a
=
4
⋅
√
24
=
19.5959
c
m
here's the answer