Answer: 37.0
Explanation:
Using Pythagorean theorem we can solve for the missing side of the triangle.
![24.6^2=16.2^2 + b^2\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/zgwtb0rdvlvrhpft8pb7qmmq0d3gc9ijz3.png)
Square 24.6 and 16.2
![605.16 = 262.44 + b^2\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/58op8r227dwlqmbs80692mcwpvnao8pp3v.png)
Then subtract 262.44 to the other side to isolate b.
![342.72 = b^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/n7gqva065wnyc6uzakdc5hdn17cjcvvlxg.png)
Now square root both sides to solve for b.
b = 18.592
Then multiply b by 2 to find x.
![18.512*2 = x\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/xvjp3fgrk1u1c2ix0fu2lq8ctac3zi5zz3.png)
x = 37.025
When rounded it is 37.0.