Diamond

Side length of diamond is 35 cm and the length of the diagonal is 56 cm. Calculate the height and length of the second diagonal.

Correct answer:

v =  16.8 cm
u =  42 cm

Step-by-step explanation:

S1=S2 12av=12u1u2 1235v=1256u 35v=56u a2=(u1/2)2+(u2/2)2 352=(56/2)2+(u/2)2 v=1456u/(35)=16.8 cm 
u=4 352562=42 cm



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



avatar




Tips to related online calculators
Do you want to convert length units?
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

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

Related math problems and questions:

  • 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.
  • Diamond diagonals
    kosostvorec Calculate the diamonds' diagonals lengths if the diamond area is 156 cm square, and the side length is 13 cm.
  • 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
  • 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.
  • Rhombus and inscribed circle
    rhombus It is given a rhombus with side a = 6 cm and the radius of the inscribed circle r = 2 cm. Calculate the length of its two diagonals.
  • Diamond
    diagonals-rhombus Calculate the length of the two diagonals of the diamond if: a = 13 cm v = 12 cm
  • Diamond
    rhombus2 Determine the side of diamond if its content is S = 353 cm2 and one diagonal u2 = 45 cm.
  • The diamond
    kosodlznik The diamond has sides of 35 cm and the diagonals are in a ratio of 1: 2. Calculate the lengths of the diagonals.
  • Rhombus
    rhombus Calculate the perimeter and area of ​​a rhombus whose diagonals are 39 cm and 51 cm long.
  • Diagonals in diamons/rhombus
    diamonds Rhombus ABCD has side length AB = 4 cm and a length of one diagonal of 6.4 cm. Calculate the length of the other diagonal.
  • Rhombus
    rhomus_circle It is given a rhombus of side length a = 19 cm. Touchpoints of inscribed circle divided his sides into sections a1 = 5 cm and a2 = 14 cm. Calculate the radius r of the circle and the length of the diagonals of the rhombus.
  • Rhombus
    rhombus-diagonals One angle of a rhombus is 136°, and the shorter diagonal is 8 cm long. Find the length of the longer diagonal and the side of the rhombus.
  • 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.
  • 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.