Euclid1

The right triangle ABC has hypotenuse c = 20 cm. How large sections cut height hc=9 cm on the hypotenuse c?

Final Answer:

c1 =  14.36 cm
c2 =  5.64 cm

Step-by-step explanation:

c=20 cm h=9 cm  c1+c2=c c1 c2=h2  c1 (cc1)=h2  x (cx)=h2  x (20x)=92 x2+20x81=0 x220x+81=0  a=1;b=20;c=81 D=b24ac=2024181=76 D>0  x1,2=2ab±D=220±76=220±219 x1,2=10±4.358899 x1=14.358898944 x2=5.641101056  c1=x1=14.3589=14.36 cm

Our quadratic equation calculator calculates it.

c2=cc1=2014.3589=5.64 cm

Try calculation via our triangle calculator.




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