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Find the value of x. If necessary, write your answer in simplest radical form.2416XX(Simplify your answer. Type an exact answer, using radicals as needed.)

Find the value of x If necessary write your answer in simplest radical form2416XXSimplify your answer Type an exact answer using radicals as needed class=

Respuesta :

In a right-angled triangle, the Pythagoras theorem holds:

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

We are given :

Hypothenus = 24

opposite = 16

adjacent = x

Substituting and simplifying, we have:

[tex]\begin{gathered} 24^2=16^2+x^2\text{ } \\ x^2\text{ = 320} \\ x\text{ = }\sqrt[]{64\text{ }\times\text{ 5}} \\ x\text{ = 8}\sqrt[]{5} \end{gathered}[/tex]

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