Diagonals in diamond

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

Correct answer:

u1 =  160 cm
u2 =  277.13 cm

Step-by-step explanation:

a=160 cm α=60   u12 = a2+a22aa cos α u12 = 2a22a2 cos α u1=a 2 (1cosα)=a 2 (1cos60° )=160 2 (1cos60° )=160 2 (10.5)=160=160 cm
β=180α=18060=120  u22 = a2+a22aa cos β u22 = 2a22a2 cos β u2=a 2 (1cosβ)=a 2 (1cos120° )=160 2 (1cos120° )=160 2 (1(0.5))=277.13=277.13 cm

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

Tips for related online calculators
The Pythagorean theorem is the base for the right triangle calculator.
Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.
Try conversion angle units angle degrees, minutes, seconds, radians, grads.

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   video3   video4

Related math problems and questions: