Respuesta :

Answer:

The length of BC is;

[tex]15\text{ units}[/tex]

Explanation:

Given the Triangle ABC, which is a right angled triangle.

Applying Pythagoras Theorem;

[tex]\begin{gathered} AC^2+BC^2=AB^2 \\ BC^2=AB^2-AC^2 \end{gathered}[/tex]

Given;

[tex]\begin{gathered} AB=17 \\ AC=8 \end{gathered}[/tex]

Substituting the given values;

[tex]\begin{gathered} BC^2=17^2-8^2 \\ BC^2=289-64 \\ BC^2=225 \\ BC=\sqrt[]{225} \\ BC=15\text{ units} \end{gathered}[/tex]

Therefore, the length of BC is;

[tex]15\text{ units}[/tex]

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