the diagonal of a rhombus are in the ratio 5 : 12.if its perimeter is 104cm.find the lengths of the side and the diagonals.
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Answer:
Its perimeter is 104cm
Perimeter =4xside=104
=> side =26cm
The diagonals of a rhombus are in the ratio 5:12.
Let diagonals are 5x and 12x
Diagonals of rhombus are perpendicular to each other, so by applying Pythagoras theorem
=> a
2
=(
2
5x
)
2
+(
2
12x
)
2
=> 26
2
=
4
169x
2
=> x=4
Diagonals are 5x=20cm and 12x=48cm
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