Diagonals in diamond

In the rhombus is given a = 160 cm, alpha = 60 degrees. Calculate the length of the diagonals.

Correct answer:

u1 =  160
u2 =  277.13

Step-by-step explanation:

u12=a2+a22aacos60 u12=2a22a2cos60 u1=a2(1cos60)=160
 β=18060=120 u22=a2+a22aacos120 u22=2a22a2cos120 u2=a2(1cos120)=277.13



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



avatar







Tips to related online calculators
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:


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

Related math problems and questions:

  • Diagonals
    diagonals Calculate the length of the rhombus's diagonals if its side is long 5 and one of its internal angles is 80°.
  • A rhombus
    rhombus-diagonals2 A rhombus has sides of length 10 cm, and the angle between two adjacent sides is 76 degrees. Find the length of the longer diagonal of the rhombus.
  • 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 ABCD
    kosoctverec2 In the diamond ABCD, the diagonal e = 24 cm and the size of angle SAB is 28 degrees, where S is the intersection of the diagonals. Calculate the circumference of the diamond.
  • Parallelogram
    Parallelogram The sides of the parallelogram are 8 cm and 6 cm long, and the diagonals' angle is 60°. What is its area?
  • Diagonals of the rhombus
    kosostvorec How long are the diagonals e, f in the diamond, if its side is 5 cm long and its area is 20 cm2?
  • Two chords
    ssa From the point on the circle with a diameter of 8 cm, two identical chords are led, which form an angle of 60°. Calculate the length of these chords.
  • Inner angles
    triangle The inner angles of the triangle are 30°, 45° and 105° and its longest side is 10 cm. Calculate the length of the shortest side, write the result in cm up to two decimal places.
  • Diamond diagonals
    kosostvorec Calculate the diamond's diagonal lengths if its content is 156 cm2 and the side length is 13 cm.
  • The pond
    rybnik We can see the pond at an angle 65°37'. Its end points are 155 m and 177 m away from the observer. What is the width of the pond?
  • Parallelogram diagonals
    kosodlznik Find the area of a parallelogram if the diagonals u1 = 15 cm, u2 = 12 cm and the angle formed by them is 30 degrees.
  • Diamond and angles
    koso Find the area of a diamond with a side of 5 cm if you know that the internal angles in the diamond are 60° and 120°.
  • 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.
  • Four sides of trapezoid
    lichobeznik-stredni_pricka In the trapezoid ABCD is |AB| = 73.6 mm; |BC| = 57 mm; |CD| = 60 mm; |AD| = 58.6 mm. Calculate the size of its interior angles.
  • Diamond PQOR
    kosostvorec In the diamond PQOR, the diagonal RQ is 4 cm long and the angle RPQ is 60°. What is the circumference of this diamond?
  • Triangle's centroid
    triangles In the triangle ABC the given lengths of its medians tc = 9, ta = 6. Let T be the intersection of the medians (triangle's centroid) and point is S the center of the side BC. The magnitude of the CTS angle is 60°. Calculate the length of the BC side to 2 d
  • Rhomboid
    triangle-ssa The rhomboid sides' dimensions are a= 5cm, b = 6 cm, and the angle's size at vertex A is 60°. What is the length of the side AC?