Right triangle - ratio

The lengths of the legs of the right triangle ABC are in ratio b = 2: 3. The hypotenuse is 10 cm long. Calculate the lengths of the legs of that triangle.

Correct result:

a =  5.547 cm
b =  8.3205 cm

Solution:

a:b=2:3 b=3/2 a c=10 cm   c2=a2+b2 c2=a2+(3/2a)2 c2=a2+(3/2)2 a2 a=c21+(3/2)2=1021+(3/2)2=5.547 cm
b=3/2 a=3/2 5.547=8.3205 cm

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