Rhombus

Find the length of the other diagonal and area of rhombus.

The perimeter of a rhombus is 40 cm and one of the diagonals is of length 10 cm.

Result

d2 =  17.32 cm
S =  86.6 cm2

Solution:

p=2d12+d22 40=2102+d22 d2=4024102=17.32 cmp = 2 \sqrt{ d_1^2 + d_2^2 } \ \\ 40 = 2 \sqrt{ 10^2 + d_2^2 } \ \\ d_2 = \sqrt{ \dfrac{ 40^2}{4} - 10^2 } = 17.32 \ \text{cm}
S=d1d22=86.6 cm2S = \dfrac{ d_1 d_2 }{2} = 86.6 \ \text{cm}^2



Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!





Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

 

 

 

Next similar math problems:

  1. Diamond perimeter
    Diamond_1000 Calculate the diamond circumference which area is 288 cm square and one diagonal has a size of 124 cm.
  2. Diagonal
    diamond Can be a diagonal of diamond twice longer than it side?
  3. Rhombus 4
    diamond_shape Circumference of the rhombus is 44 cm, its height is 89 mm long. Calculate its content area.
  4. Rhombus HP
    rhombus3_1 Calculate area of the rhombus with height 24 dm and perimeter 12 dm.
  5. Rhombus A2p
    kosostvorec Rhombus area is 13 cm2 and its height is 5cm long . Determine a perimeter of this rhombus.
  6. Acreage
    pozemek Plot has a diamond shape, its side is 25.6 m long and the distance of the opposite sides is 22.2 meters. Calculate its acreage.
  7. Rhombus
    pqrs PQRS is a rhombus. Given that PQ=3 cm & height of rhombus is given 2 cm. Calculate its area.
  8. Rhombus
    kosostvorec_6 If we increase the rhombus side by 2.4 cm; its perimeter is 20 cm. How long was the side of the rhombus?
  9. Triangle eq
    rs_triangle_1 Calculate accurate to hundredths cm height of an equilateral triangle with a side length 12 cm. Calculate also its perimeter and content area.
  10. Circle r,D
    bavlnka Calculate the diameter and radius of the circle if it has length 52.45 cm.
  11. Circle - simple
    colorful-circle Calculate the area of a circle in dm2, if its circumference is 31.4 cm.
  12. RT 10
    triangles_rt Area of right triangle is 84 cm2 and one of its cathethus is a=10 cm. Calculate perimeter of the triangle ABC.
  13. Trapezium 2
    trapezium_3 Trapezium has an area of 24 square cms. How many different trapeziums can be formed ?
  14. Flowerbed
    garden_16 In the park there is a large circular flowerbed with a diameter of 12 m. Jakub circulated him ten times and the smaller Vojtoseven times. How many meters each went by and how many meters did Jakub run more than Vojta?
  15. Mine
    minetower Wheel in traction tower has a diameter 4 m. How many meters will perform an elevator cabin if wheel rotates in the same direction 89 times?
  16. Unknown number 17
    5to2 Milada said, I am thinking of a number such that I evaluate expression x1/3, the value of the expression would be 5. Which number Milada thinking?
  17. The square
    numbers_49 The square root of 25 times the square root of 81 is what number?