Answer:
Option 3, 18.0
Explanation:
To find the Hypotenuse of a right triangle, use the Pythagoras theorem:
(see image below)
(the longest side of any right △ is always C)
In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C
![10^(2) +15^(2) =c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/zyg6ivwyl6wkg93h8cjl9b7a4o7eoyn8jz.png)
![100 + 225 =c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/jasj8e85ae8hwanxdu0yq8bpqpeodcla97.png)
![325 = c^(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/mpghijxskdq7hoqlk87lfwaidwrs0n8nzi.png)
Now that the equation is simplified, we find the square root of 325 to solve for C.
![18.0 = c](https://img.qammunity.org/2022/formulas/mathematics/high-school/yyuev8q9bh5qnxxo8i8ag74sm23xol14oe.png)
The final answer is C = 18.0
Hope this helps you understand :)