Hypotenuse and height

In a right triangle is length of the hypotenuse c = 56 cm and height hc = 4 cm. Determine the length of both triangle legs.

Correct answer:

a =  55.9 cm
b =  4 cm

Step-by-step explanation:

56=x+y 42=xy  x(56x)=42  x256x+16=0  a=1;b=56;c=16 D=b24ac=5624116=3072 D>0  x1,2=2ab±D=256±3072=256±323 x1,2=28±27.712813 x1=55.712812921 x2=0.287187079   Factored form of the equation:  (x55.712812921)(x0.287187079)=0   a=x156=55.9 cm
b=x256=4 cm

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