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

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.


What is the perimeter of a regular hexagon with side lengths each?

Side length x 6 = perimeter


A prism of height 12 has a rhombus with diagonals 6 and 8 for a base Find the volume?

i think its 288


If two consecutive sides of a rhombus are represented by 3x - 6 and x plus 14 then the perimeter of the rhombus is what?

To find the perimeter of a rhombus, you need to add up the lengths of all four sides. In a rhombus, all four sides are congruent. Given that two consecutive sides are represented by 3x - 6 and x + 14, we can set up an equation: 3x - 6 = x + 14. Solving for x gives x = 10. Substituting x back into the expressions gives the side lengths as 24 and 24. Therefore, the perimeter is 4 times the length of one side, which is 4 * 24 = 96 units.


What is the length of the sides of a rhombus whose diagonals are 10 and 12 respectively?

The diagonals of a rhombus intersect at 90 degrees therefore it has 4 right angle triangles with sides of 5 and 6 respectively with the hypotenuse being a side of the rhombus. So using Pythagoras' theorem: 52+62 = 61 and the square root of this is the length of each side of the rhombus which is approximately 7.81 units of measurement

Related Questions

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.


If a rhombus has diagonals of lengths 7cm and 12cm Using the Pythagorean theorem calculate the perimeter?

Perimeter: 4 times square root of (3.5^2+6^2) = 2 times square root of 193 in cm


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

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.


How do you find the perimeter of a rhombus if the length of a side is 6?

The four sides of a rhombus are equal and so: 6+6+6+6 = 24


What is the area of a rhombus with a perimeter of 20 and an altitude of 6?

30


What is the perimeter of a rhombus with an area of 42 and an altitude of 6?

28


What would be the perimeter of a rhombus with a side of 6 and an altitude of 5?

Rhombus is an equilateral four sided form. If one side is 6, the perimeter is 4 x 6 = 24. The altitude makes no difference.


What are the integer base lengths of a rhombus based pyramid whose height is 5 cm with a volume of 40 cubic cm?

If its base diagonals are 8 and 6 then by using Pythagoras it will have 4 equal lengths of 5 cm. Check: 0.5*8*6*1/3*5 = 40 cubic cm


What is the perimeter of a regular hexagon with side lengths each?

Side length x 6 = perimeter


A prism of height 12 has a rhombus with diagonals 6 and 8 for a base Find the volume?

i think its 288


What are the lengths of a rectangle that has an area and perimeter of 18?

Possibly 3 by 6


If two consecutive sides of a rhombus are represented by 3x - 6 and x plus 14 then the perimeter of the rhombus is what?

To find the perimeter of a rhombus, you need to add up the lengths of all four sides. In a rhombus, all four sides are congruent. Given that two consecutive sides are represented by 3x - 6 and x + 14, we can set up an equation: 3x - 6 = x + 14. Solving for x gives x = 10. Substituting x back into the expressions gives the side lengths as 24 and 24. Therefore, the perimeter is 4 times the length of one side, which is 4 * 24 = 96 units.