A rectangle 2

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

Correct answer:

a =  63.4545 cm
b =  38.0727 cm

Step-by-step explanation:

d=74 cm a:b = 5:3  d2 = a2 + b2 b = 53a d2 = a2 + (53a)2  a2 = d2 / (1 + 5232)  a=1+5232d=1+523274=63.4545 cm
b=53 a=53 63.454538.0727 cm  k=a/b=63.4545/38.0727=351.6667  d2=a2+b2=63.45452+38.07272=74 cm

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