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Since the diagonals of a rhombus are perpendicular and bisect each other, then we can use the Pythagorean theorem to find the length of the side of the rhombus. So in the right triangle, whose length of the legs are 6 and 8 centimeters, the hypotenuse length (the length of the side of the rhombus) is

√(62 + 82) = √(36 + 64) = √100 = 10 cm.

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Q: What is the length of one side of the rhombus if the diagonals of a rhombus have lengths of 12 centimeters and 16 centimeters?
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Related questions

Why do the diagonals of a rhombus not have to be the same length?

The sides of a rhombus must all be the same length, but the angles do not need to be the same. The result is a diamond shape where the diagonals can be two different lengths.


What is the ratio of the length of diagonals of a rhombus?

They are the same length, so 1:1 * * * * * In fact that is the one ratio they cannot be. A rhombus with equal diagonals is a square. The ratio of the lengths can have any other positive value.


What is the area of a rhombus with the diagonals lengths of 13 and 17 and the base length of 7.6?

110.5 sq units


How do you find the diagonals of a rhombus?

You need more information: the length of a side. Then, since the diagonals bisect one another at right angles, you can use Pythagoras's theorem to calculate their lengths.


Is the diagonals of rhombus congruent?

"Congruent" isn't used to describe the diagonals of a rhombus. However, all four sides of a rhombus are congruent - they are all the same length.The diagonals of a rhombus are perpendicular to each other. They are not the same length - if the diagonals were the same length, then you would have a square.


Does a rhombus have equal length?

The answer depends on which aspect of a rhombus. Its sides are of equal length but its diagonals are NOT!


What is the formula for perimeter of rhombus?

It depends on what information you have: the length of a side, or the lengths of the diagonals, or a diagonal and an angle. Each of these will give rise to a different formula.


How do you draw a polygon with 2 pairs of parallel sides 2 pairs of sides equal in length and 2 acute and 2 obtuse angles and all the possible names for it?

It is difficult to give instructions about drawing a figure without knowing what information (side lengths, angle measures, diagonals) you have about it.A parallelogram. And, if all four sides are of the same length, then a rhombus. or a rhombus.It is difficult to give instructions about drawing a figure without knowing what information (side lengths, angle measures, diagonals) you have about it.A parallelogram. And, if all four sides are of the same length, then a rhombus. or a rhombus.It is difficult to give instructions about drawing a figure without knowing what information (side lengths, angle measures, diagonals) you have about it.A parallelogram. And, if all four sides are of the same length, then a rhombus. or a rhombus.It is difficult to give instructions about drawing a figure without knowing what information (side lengths, angle measures, diagonals) you have about it.A parallelogram. And, if all four sides are of the same length, then a rhombus. or a rhombus.


What is the relationship between diagonals on a rhombus?

Not in general. The diagonals of a rectangle are equal length. A rhombus that is also a rectangle would be a square.


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?

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.


Which quadrilateral has All sides are the same length the diagonals are not equal in length?

rhombus


Are the diagonals of a rhombus perpendicular and bisect each other?

Yes, they are perpendicular and intersect at their midpoints. The difference between diagonals in a rhombus as opposed to a rectangle or square is that the diagonals are not of equal length.