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The diagonals of the rhombus are in the ratio 3 4 the perimeter of the rhombus is 40cm find the lengths of the sides and of the diagonals?
Wiki User
∙ 14y ago
The length of the sides of the rhombus are 10cm, as a rhombus has equal sides.
since the diagonals of a rhombus are perpendicular,
ratio of
side of rhombus to
1/2 a diagonal to
1/2 of another diagonal
is 5:4:3 (pythagorean thriple),
hence ratio of side of rhombus to
1 diagonal
to another diagonal
is 5:8:6.
since 5 units = 10cm
8 units = 16cm
6 units = 12cm
and there are your diagonals.
Wiki User
∙ 14y ago
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