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ABC is a right triangle. If AC=12 and BC=13, find AB.

ABC is a right triangle. If AC=12 and BC=13, find AB.-example-1

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Given: The


\begin{gathered} AC=12 \\ BC=13 \end{gathered}

To Determine:


AB

Using the Pythagoras theorem


AB^2+AC^2=BC^2
\begin{gathered} AB^2=BC^2-AC^2 \\ AB^2=13^2-12^2 \\ AB^2=169-144 \\ AB^2=25 \\ AB=\sqrt[]{25} \\ AB=5 \end{gathered}

Hence AB = 5

User Gpilotino
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