A rectangle 2

A rectangle has a diagonal length of 74cm. Its side lengths are in ratio 5:3. Find its side lengths.

Correct result:

a =  63.4545 cm
b =  38.0727 cm

Solution:

d=74 cm a:b=5:3  d2=a2+b2 b=35a d2=a2+(35a)2  a2=d2/(1+3252)  a=d1+3252=741+3252=63.4545 cm
b=35⋅ a=35⋅ 63.4545≐38.0727=38.0727 cm  k=a/b=63.4545/38.0727=53≐1.6667  d2=a2+b2=63.45452+38.07272=74 cm

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