The diamond

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

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

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