Answer: CD≈3.47
Step-by-step explanation:
Let CD=x.
[tex]\displaystyle\\\left \{ {{AC^2=24^2-(17+x)^2} \atop {AC^2=13^2-x^2}} \right. \\24^2-(17+x)^2=13^2-x^2\\576-(17^2+2*17*x+x^2)=169-x^2\\576-289-34x-x^2=169-x^2\\576-289-169=34x\\118=34x\\[/tex]
Divide both parts of the equation by 34:
[tex]x\approx3.47[/tex]
Hence, CD≈3.47
