Euclid1

Right triangle has hypotenuse c = 27 cm. How large sections cuts height hc=3 cm on the hypotenuse c?

Correct result:

c1 =  26.66 cm
c2 =  0.34 cm

Solution:

c1+c2=27 c1⋅c2=32   x2−27x+9=0  a=1;b=−27;c=9 D=b2−4ac=272−4⋅1⋅9=693 D>0  x1,2=−b±D2a=27±6932=27±3772 x1,2=13.5±13.1624465811 x1=26.6624465811 x2=0.337553418912   Factored form of the equation:  (x−26.6624465811)(x−0.337553418912)=0  c1=26.66 cm
c2=0.34 cm

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