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



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