Respuesta :

Answer:

The perimeter of the triangle is:

[tex]36\text{ units}[/tex]

Explanation:

The perimeter of the triangle is the sum of the values of the three sides.

For the given triangle, we have;

[tex]P=x+12+9[/tex]

Recall that we can get the value of x using the Pythagoras theorem;

[tex]\begin{gathered} x=\sqrt[]{12^2+9^2} \\ x=\sqrt[]{144+81} \\ x=\sqrt[]{225} \\ x=15 \end{gathered}[/tex]

So, the perimeter P becomes;

[tex]\begin{gathered} P=15+12+9 \\ P=36\text{ units} \end{gathered}[/tex]

Therefore, the perimeter of the triangle is:

[tex]36\text{ units}[/tex]

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