Question

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Answer 1

Answer: CD≈3.47

Explanation:

Let CD=x.

`\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\\`

Divide both parts of the equation by 34:

`x\approx3.47`

Hence, CD≈3.47