Question

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

Answer 1

B. 5√13

Step-by-step explanation:

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

`\begin{gathered} c^2=a^2+b^2 \\ c\text{ is the hypotenuse} \end{gathered}`

Substituting the given values of a and b:

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

The length of the missing side is 5√13.

The correct choice is B.