RT triangle and height

Calculate the remaining sides of the right triangle if we know side b = 4 cm long and height to side c h = 2.4 cm.

Correct result:

a =  3 cm
c =  5 cm

Solution:

b=4 h=2.4  b2=c12+h2 c1=b2h2=422.42=165=3.2  c1c2=h2 c2=h2/c1=2.42/3.2=95=1.8  c=c1+c2=3.2+1.8=5  a=c2b2=5242=3 cm
c=c1+c2=3.2+1.8=5 cm

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