RT and ratio

A right triangle whose legs are in a ratio 6:12 has hypotenuse 68 m long. How long are its legs?

Correct result:

a =  30.411 m
b =  60.821 m

Solution:

c=68 m a2+b2=c2 a:b=6:12 a=6/12b (6/12)2b2+b2=c2 b2(1+(6/12)2)=c2 b=c1+(6/12)2 b=681+(6/12)2=60.821 m a=(6/12)b=30.411 m

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