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find the length of the missing side if necessary, express your answer in simplest radical form

Find The Length Of The Missing Side If Necessary Express Your Answer In Simplest Radical Form class=

Sagot :

Answer:

B. 5√13

Explanation:

To find the length of the missing side, apply the Pythagorean Theorem:

[tex]\begin{gathered} c^2=a^2+b^2 \\ c\text{ is the hypotenuse} \end{gathered}[/tex]

Substituting the given values of a and b:

[tex]\begin{gathered} c^2=10^2+15^2 \\ c^2=100+225 \\ c^2=325 \\ c=\sqrt[]{325} \\ c=\sqrt[]{25\times13} \\ c=5\sqrt[]{13} \end{gathered}[/tex]

The length of the missing side is 5√13.

The correct choice is B.

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