Let us sketch out the triangle,
To solve for the unknown length, we will adopt the method of Pythagoras theorem,
[tex]\begin{gathered} \text{Pythagoras theorem,} \\ x^2=y^2+z^2 \end{gathered}[/tex][tex]\begin{gathered} \text{where x=?} \\ y=12 \\ z=5 \end{gathered}[/tex][tex]\begin{gathered} x^2=12^2+5^2 \\ x^2=144+25 \end{gathered}[/tex][tex]\begin{gathered} x=\sqrt[]{169} \\ x=13 \\ \text{Hence, the length of the hypotenuse is 13 units.} \end{gathered}[/tex]Hence, the length of the hypotenuse is 13units.
