The diamond

The diamond has sides of 35 cm and the diagonals are in a ratio of 1: 2. Calculate the lengths of the diagonals.

Correct answer:

u =  31.305 cm
v =  62.6099 cm

Step-by-step explanation:

a=35 cm u:v=1:2  u=0.5 v v=2u  a2=(u/2)2+(v/2)2 a2=(u/2)2+u2  a2=u2/4+u2 u=a2/(1+1/4)=352/(1+1/4)=14 5=31.305 cm
v=2 u=2 31.305=28 562.6099 cm  b=(u/2)2+(v/2)2=(31.305/2)2+(62.6099/2)2=35 cm b=a



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







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

 
We encourage you to watch this tutorial video on this math problem: video1   video2   video3

Related math problems and questions:

  • Rhombus and diagonals
    rhombus-diagonals The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides.
  • Two diagonals
    koso The diagonals of the diamond EFGH have lengths in the ratio 1: 2. What is the circumference of a rhombus if the longer of the diagonals is 8 cm long?
  • Diamond diagonals
    kosostvorec Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.
  • Rhombus IV
    image005 Calculate the length of the diagonals of the rhombus, whose lengths are in the ratio 1: 2 and a rhombus side is 35 cm.
  • Diamond diagonals
    kosodlznik Find the diamond diagonal's lengths if the area is 156 cm2 and side is 13 cm long.
  • Diamond and diagonals
    kosostvorec A diamond has diagonals f = 8 cm and g = 6 cm long. How long is this diamond perimeter? (Calculate it!)
  • Rhombus
    kosostvorec The rhombus has diagonal lengths of 4.2cm and 3.4cm. Calculate the length of the sides of the rhombus and its height
  • The diamond
    koso The diamond has an area S = 120 cm2, the ratio of the length of its diagonals is e: f = 5: 12. Find the lengths of the side and the height of this diamond.
  • The diagonals
    kosostvorec The diagonals of the KOSA diamond are 20 cm and 48 cm long. Calculate the circumference of the diamond in centimeters rounded to one unit.
  • Cuboid face diagonals
    face_diagonals_1 The lengths of the cuboid edges are in the ratio 1: 2: 3. Will the lengths of its diagonals be the same ratio? The cuboid has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this cuboid.
  • Rhombus and diagonals
    kosostvorec The rhombus area is 150 cm2, and the ratio of the diagonals is 3:4. Calculate the length of its height.
  • Diamond diagonals
    kosostvorec Calculate the diamond's diagonal lengths if its content is 156 cm2 and the side length is 13 cm.
  • Rhombus diagonals
    kosostvorec In the rhombus ABCD are given the sizes of diagonals e = 24 cm; f = 10 cm. Calculate the side length of the diamond and the size of the angles, calculate the content of the diamond
  • Diamond side
    diamond-in-square-etc The diagonals of the diamond are 18 cm and 14 cm long. Calculate the length of the diamond side.
  • Diagonals of diamond
    kosostvorec Find the area and circumference of the diamond ABCD with 15m and 11m diagonals.
  • Diagonals of rhombus
    rhombus-diagonals Find a length of the diagonal AC of the rhombus ABCD if its perimeter P = 112 dm and the second diagonal BD has a length of 36 dm.
  • Diagonals
    koso_uhlopricky Given a rhombus ABCD with a diagonalsl length of 8 cm and 12 cm. Calculate the side length and content of the rhombus.