Respuesta :

The sides of a right-angled triangle are related by the Pythagoras theorem given below:

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

From the given triangle, we have:

[tex]\begin{gathered} \text{Hypothenus = 25} \\ \text{adjacent = 22} \\ \text{opposite = x} \end{gathered}[/tex]

Substituting and simplifying, we have:

[tex]\begin{gathered} 25^2=22^2+x^2 \\ x\text{ = }\sqrt[]{141} \\ x\text{ = 11.9 (nearest tenth)} \end{gathered}[/tex]

The value of x is 11.9

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