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.
