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!







Tips for related online calculators

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

Related math problems and questions: