Respuesta :

Let us begin by labelling the sides of the triangle

We can solve for x by applying Pythagoras theorem

[tex]hypothenuse^2\text{ = opposite}^2\text{ + adjacent}^2[/tex]

Substituting the given values:

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

Answer:

x = 15

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