Answer :

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Answer:

The answer in the procedure

Step-by-step explanation:

I will analyze two cases

see the attached figure to better understand the problem

case a) applying the Pythagoras Theorem

I assume that the hypotenuse is BC

[tex]AB^{2}=BC^{2}-AC^{2}[/tex]

substitute the given values

[tex]AB^{2}=17^{2}-15^{2}[/tex]

[tex]AB^{2}=64[/tex]

[tex]AB=8\ units[/tex]

case b) applying the Pythagoras Theorem

I assume that the hypotenuse is AB

[tex]AB^{2}=BC^{2}+AC^{2}[/tex]

substitute the given values

[tex]AB^{2}=17^{2}+15^{2}[/tex]

[tex]AB^{2}=514[/tex]

[tex]AB=\sqrt{514}=22.67\ units[/tex]

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